login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 6 01:25 EST 2021. Contains 349558 sequences. (Running on oeis4.)