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A227603 Number of lattice paths from {6}^n to {0}^n using steps that decrement one component such that for each point (p_1,p_2,...,p_n) we have p_1<=p_2<=...<=p_n. 2
1, 32, 8925, 8285506, 16104165970, 51630369256916, 237791136700913751, 1441565191975184121126, 10844768238749437970393066, 97106818062816381529413045436, 1003769793669980634048599763674485, 11703712713157396870910671640141678850 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..40

FORMULA

Conjecture: a(n) ~ 2^(5/2) * 6^(6*n + 67/2) / (5^29 * Pi^(5/2) * n^(35/2)). - Vaclav Kotesovec, Nov 21 2016

MAPLE

b:= proc(l) option remember; `if`(l[-1]=0, 1, add(add(b(subsop(

      i=j, l)), j=`if`(i=1, 0, l[i-1])..l[i]-1), i=1..nops(l)))

    end:

a:= n-> `if`(n=0, 1, b([6$n])):

seq(a(n), n=0..12);

CROSSREFS

Row n=6 of A227578.

Sequence in context: A159679 A139568 A139294 * A327130 A231035 A213813

Adjacent sequences:  A227600 A227601 A227602 * A227604 A227605 A227606

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jul 17 2013

STATUS

approved

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Last modified October 22 18:08 EDT 2019. Contains 328319 sequences. (Running on oeis4.)