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A320380
Number of parts in all partitions of n with largest multiplicity ten.
2
10, 0, 11, 11, 23, 23, 48, 48, 87, 100, 164, 192, 290, 344, 500, 614, 847, 1038, 1412, 1728, 2286, 2812, 3650, 4491, 5758, 7045, 8924, 10912, 13668, 16647, 20691, 25104, 30952, 37444, 45853, 55282, 67291, 80824, 97860, 117188, 141132, 168446, 202003, 240312
OFFSET
10,1
LINKS
FORMULA
a(n) ~ 3^(1/4) * log(11) * exp(2*Pi*sqrt(5*n/33)) / (2 * Pi * 55^(1/4) * n^(1/4)). - Vaclav Kotesovec, Oct 25 2018
MAPLE
b:= proc(n, i, k) option remember; `if`(n=0, [1, 0], `if`(i<1, 0,
add((l->l+[0, l[1]*j])(b(n-i*j, i-1, k)), j=0..min(n/i, k))))
end:
a:= n-> (k-> (b(n$2, k)-b(n$2, k-1))[2])(10):
seq(a(n), n=10..50);
CROSSREFS
Column k=10 of A213177.
Sequence in context: A055961 A341504 A196081 * A088001 A344071 A260946
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Oct 11 2018
STATUS
approved