basis_map / A049020
Image under a basis map u^k -> P_k. All operations
Parameters (34)
- all
- A007318 223 proof steps, 219 sequences
- A008277 214 proof steps, 212 sequences
- A013611 212 proof steps, 210 sequences
- A013609 212 proof steps, 210 sequences
- A013610 212 proof steps, 210 sequences
- A008288 28 proof steps, 13 sequences
- A027465 7 proof steps, 7 sequences
- A027466 7 proof steps, 7 sequences
- A027467 7 proof steps, 7 sequences
- A038207 6 proof steps, 6 sequences
- A038231 6 proof steps, 6 sequences
- A038243 6 proof steps, 6 sequences
- A038255 6 proof steps, 6 sequences
- A038279 6 proof steps, 6 sequences
- A038291 6 proof steps, 6 sequences
- A038303 6 proof steps, 6 sequences
- A038327 6 proof steps, 6 sequences
- A130595 3 proof steps, 3 sequences
- A049020 2 proof steps, 2 sequences
- A060821 1 proof steps, 1 sequences
- A026729 1 proof steps, 1 sequences
- A063967 1 proof steps, 1 sequences
- A066325 1 proof steps, 1 sequences
- A099040 1 proof steps, 1 sequences
- A099093 1 proof steps, 1 sequences
- A030528 1 proof steps, 1 sequences
- A099097 1 proof steps, 1 sequences
- A111125 1 proof steps, 1 sequences
- A112227 1 proof steps, 1 sequences
- A113953 1 proof steps, 1 sequences
- A154602 1 proof steps, 1 sequences
- A159834 1 proof steps, 1 sequences
- A341287 1 proof steps, 1 sequences
- A056242 1 proof steps, 1 sequences
2 sequences
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A137597: Triangle read by rows: A008277 * A007318.
A007318 → basis A0490201 · 2, 1 · 5, 5, 1 · 15, 22, 9, 1 … row sums 1, 3, 11, 47, 227, 1215, 7107, 44959, …
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A049020: Triangle of numbers a(n,k), 0 <= k <= n: number of set partitions of {1,2,...,n} in which exactly k of the blocks have been distinguished.
A023531 → basis A0490201 · 1, 1 · 2, 3, 1 · 5, 10, 6, 1 … row sums 1, 2, 6, 22, 94, 454, 2430, 14214, …