OEIS-Reference: A123346
Number of partitions of {1,2,..,n} in which k is the smallest of its block.
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RectangleForm | ||||||
1 | 1 | 2 | 5 | 15 | 52 | 203 |
2 | 3 | 7 | 20 | 67 | 255 | 1080 |
5 | 10 | 27 | 87 | 322 | 1335 | 6097 |
15 | 37 | 114 | 409 | 1657 | 7432 | 36401 |
52 | 151 | 523 | 2066 | 9089 | 43833 | 229114 |
203 | 674 | 2589 | 11155 | 52922 | 272947 | 1515903 |
877 | 3263 | 13744 | 64077 | 325869 | 1788850 | 10515147 |
Fingerprint | ||||
SubSeqType | 0 | 1 | 2 | 3 |
Row | A000110 | A011968 | A011969 | A011970 |
Column | A000110 | A005493 | A011965 | A011966 |
DiagRow | A094577 | A000000 | A000000 | A000000 |
DiagColumn | A094577 | A020556 | A000000 | A000000 |
Characteristic | SUM | ALS | LCM | GCD |
Sequence | A005493 | A000000 | A000000 | A000012 |
Maple T13 := proc(n, k) if n = 0 and k = 0 then 1 elif k = n then T13(n-1, 0) else T13(n, k + 1) + T13(n - 1, k) fi end:
TeX T_{13}(n,k) = \genfrac{\{}{.}{0pt}{}{T(0,0) \leftarrow 1, T(n,n)\leftarrow T(n-1,0)}{T(n,k)\leftarrow T(n,k+1)+T(n-1,k)}
ECT