A154416 Maximal Stirling numbers of the first kind.
1, 1, 1, 2, 11, 35, 274, 1624, 13068, 118124, 1026576, 12753576, 120543840, 1931559552, 20313753096, 392156797824, 5056995703824, 102992244837120, 1583313975727488, 34012249593822720, 610116075740491776, 13803759753640704000, 284093315901811468800
Offset: 0
Keywords
Links
- G. C. Greubel, Table of n, a(n) for n = 0..300
Programs
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Mathematica
Table[Max[Table[StirlingS1[n, m], {m, 0, n}]], {n, 0, 30}] -
PARI
a(n) = vecmax(vector(n+1, m, stirling(n, m-1, 1))); \\ Michel Marcus, Sep 16 2016
Formula
a(n) = max_{m=0..n} StirlingS1(n,m).