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70 lines
3.3 KiB
Markdown
70 lines
3.3 KiB
Markdown
# OEIS
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**Mode**: 🌐 Public · **Domain**: `oeis.org`
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Search the Online Encyclopedia of Integer Sequences by keyword or pattern, and fetch full sequence detail by A-number. OEIS is the canonical reference for integer sequences in mathematics — every sequence has a unique `Annnnnn` id.
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## Commands
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| Command | Description |
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|---------|-------------|
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| `opencli oeis search <query>` | Search OEIS sequences by keyword or numeric pattern |
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| `opencli oeis sequence <id>` | Full OEIS sequence detail by A-number |
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## Usage Examples
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```bash
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# Keyword search
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opencli oeis search fibonacci
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opencli oeis search "prime gaps" --limit 5
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# Numeric pattern search (find sequences matching a prefix)
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opencli oeis search "1,1,2,3,5,8" # Fibonacci
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opencli oeis search "2,3,5,7,11,13,17" # primes
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# Sequence detail (A-number round-trips from search)
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opencli oeis sequence A000045 # Fibonacci
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opencli oeis sequence A000040 # Primes
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opencli oeis sequence A000041 # Partitions
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```
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## Output Columns
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| Command | Columns |
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|---------|---------|
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| `search` | `rank, id, name, keywords, preview, author, created, url` |
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| `sequence` | `id, name, keywords, preview, termCount, offset, author, created, revision, commentCount, formulaCount, referenceCount, xrefCount, linkCount, url` |
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The `id` column round-trips between commands.
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## Options
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### `search`
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| Option | Description |
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|--------|-------------|
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| `query` (positional) | Keyword or comma-separated terms |
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| `--limit` | Max sequences (1–100, default: 10). OEIS' wire format returns 10 per page; the adapter paginates server-side until `limit` is satisfied or upstream runs out. |
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### `sequence`
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| Option | Description |
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|--------|-------------|
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| `id` (positional) | OEIS A-number (e.g. `A000045`). Full URLs (`https://oeis.org/A000045`) and lowercase (`a000045`) are accepted. |
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## Notes
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- **`id` is always zero-padded to 6 digits** (`A000045`, `A000040`) — OEIS' canonical form. Search responses have raw integers (`number: 45`); the adapter formats them into the canonical id.
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- **`preview` is the first 12 terms**, comma-joined. The full term sequence can be hundreds of integers; we cap with `(+N)` suffix so rows stay scannable. Use `sequence` + the `data` API tier (not exposed here) for the full term stream.
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- **`keywords` is a comma-joined string**, OEIS' raw format. Common keywords:
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- `core` — universally referenced
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- `nice` — pleasing / well-known
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- `easy` — easy to compute
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- `nonn` — non-negative
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- `mult` — multiplicative
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- `cofr` — continued-fraction ish
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- **`offset`** is OEIS' notation for where the sequence begins (`'0,4'` means first term is at index 0, first term ≥ 2 is at index 4). Useful for sequences that start with `1, 1` and you need to know where the "interesting" terms are.
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- **`commentCount` / `formulaCount` / `referenceCount` / `xrefCount` / `linkCount`** are integer counts of how rich the OEIS page is. The full graphs are not surfaced — they can be enormous (Fibonacci has 250 links).
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- **No API key required.** OEIS' free service is generous; bursts → `CommandExecutionError`.
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- **Errors.** Empty query / bad A-number / bad limit → `ArgumentError`; unknown id / no matches → `EmptyResultError`; transport / 429 / non-200 → `CommandExecutionError`.
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