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A258297 Number of partitions of n*(n+1)*(n+2) into parts that are at most n. 5
1, 1, 13, 331, 13561, 776594, 57773582, 5320252480, 586352480958, 75438829494131, 11116206652400681, 1848033852642973772, 342436117841931383400, 70020229273505952925559, 15667865938977592230047929, 3809417116914053901413289249, 1000291703885548521424635046427 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..134

FORMULA

a(n) ~ exp(2*n + 13/4) * n^(n-3) / (2*Pi).

MAPLE

T:=proc(n, k) option remember; `if`(n=0 or k=1, 1, T(n, k-1) + `if`(n<k, 0, T(n-k, k))) end proc: seq(T(n*(n+1)*(n+2), n), n=0..20);

CROSSREFS

Cf. A238608, A258298, A258299, A258300, A258301.

Sequence in context: A296018 A348087 A142543 * A266902 A029807 A097308

Adjacent sequences:  A258294 A258295 A258296 * A258298 A258299 A258300

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, May 25 2015

STATUS

approved

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Last modified December 5 17:28 EST 2021. Contains 349557 sequences. (Running on oeis4.)