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A227597 Number of lattice paths from {n}^6 to {0}^6 using steps that decrement one component such that for each point (p_1,p_2,...,p_6) we have p_1<=p_2<=...<=p_6. 2
1, 1, 429, 750325, 3086989927, 22228291051255, 237791136700913751, 3418868469576233694591, 61845760669881132413037769, 1344481798162876850603732892817, 33976468300798036566458244068649205, 973569246761047672746215294808240044853 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..69

FORMULA

Conjecture: a(n) ~ 5 * 7^(6*n+29) / (2^58 * 3^8 * Pi^(5/2) * n^(35/2)). - Vaclav Kotesovec, Nov 20 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([n$6])):

seq(a(n), n=0..13);

CROSSREFS

Column k=6 of A227578.

Sequence in context: A258395 A215547 A181195 * A321976 A147694 A166537

Adjacent sequences:  A227594 A227595 A227596 * A227598 A227599 A227600

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jul 17 2013

STATUS

approved

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Last modified May 16 17:22 EDT 2021. Contains 343949 sequences. (Running on oeis4.)