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A245666 Number of permutations of length n with longest increasing subsequence of length 10. 2
1, 100, 5941, 275705, 11110464, 410474625, 14353045401, 484748595081, 16029615164446, 523952747921310, 17044414451764396, 554568496974014588, 18113988555378974988, 595604303387826752023, 19755504320385394380715, 662039152774864970449891 (list; graph; refs; listen; history; text; internal format)
OFFSET

10,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 10..60

MAPLE

h:= proc(l) local n; n:= nops(l); add(i, i=l)! /mul(mul(1+l[i]-j

    +add(`if`(l[k]>=j, 1, 0), k=i+1..n), j=1..l[i]), i=1..n) end:

g:= (n, i, l)-> `if`(n=0 or i=1, h([l[], 1$n])^2, `if`(i<1, 0,

                add(g(n-i*j, i-1, [l[], i$j]), j=0..n/i))):

a:= n-> g(n-10, min(n-10, 10), [10]):

seq(a(n), n=10..30);

CROSSREFS

Column k=10 of A047874.

Sequence in context: A204081 A053109 A151647 * A210814 A065689 A260859

Adjacent sequences:  A245663 A245664 A245665 * A245667 A245668 A245669

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jul 28 2014

STATUS

approved

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Last modified December 9 13:50 EST 2019. Contains 329877 sequences. (Running on oeis4.)