

A258298


Number of partitions of n*(n+1)*(n+2)/6 into parts that are at most n.


5



1, 1, 3, 14, 108, 1115, 14800, 239691, 4602893, 102442041, 2596767156, 73937412122, 2338157235782, 81358388835166, 3090548185022616, 127310130911561966, 5654266354725389764, 269396637045530725099, 13708631585852580662781, 742141584297248778501411
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OFFSET

0,3


LINKS



FORMULA

a(n) ~ exp(2*n + 9/2) * n^(n3) / (2*Pi * 6^(n1)).


MAPLE

T:=proc(n, k) option remember; `if`(n=0 or k=1, 1, T(n, k1) + `if`(n<k, 0, T(nk, k))) end proc: seq(T(n*(n+1)*(n+2)/6, n), n=0..20);


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



