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

0,4

Links

G. C. Greubel, Table of n, a(n) for n = 0..300

Formula

a(n) = max_{m=0..n} StirlingS1(n,m).

Mathematica

Table[Max[Table[StirlingS1[n, m], {m, 0, n}]], {n, 0, 30}]

Prog

(PARI) a(n) = vecmax(vector(n+1, m, stirling(n, m-1, 1))); \\ Michel Marcus, Sep 16 2016

Crossrefs

Cf. A002870, A006551, A065048.

Sequence in context: A086735 A242300 A078982 * A184538 A316322 A238706

Adjacent sequences: A154413 A154414 A154415 * A154417 A154418 A154419

Keyword

nonn

Author

Roger L. Bagula, Jan 09 2009

Status

approved