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A192061 Number of 12-core partitions of n. 2
1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 56, 65, 89, 111, 140, 171, 213, 253, 310, 363, 432, 498, 583, 705, 800, 924, 1060, 1216, 1379, 1578, 1772, 2013, 2259, 2554, 2847, 3147, 3507, 3897, 4305, 4756, 5225, 5748, 6297, 6909, 7546, 8250, 9000, 9724, 10626, 11512, 12478, 13482, 14616, 15714, 17007, 18215, 19602, 20930, 22470 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..10000 (terms 0..1000 from Alois P. Heinz)

MAPLE

M:=60;

f:=proc(t) global M; local q, i, t1;

t1:=1;

for i from 1 to M+1 do

t1:=series(t1*(1-q^(i*t))^t, q, M);

t1:=series(t1/(1-q^i), q, M);

od;

t1;

end;

seriestolist(f(12));

MATHEMATICA

m = 60;

f[0] = 1/(1 - x^k);

f[t_] = (1 - x^(k t))^t/(1 - x^k);

s[t_] := CoefficientList[Series[Product[f[t], {k, m-1}], {x, 0, m-1}], x];

s[12] (* Jean-Fran├žois Alcover, May 27 2020 *)

CROSSREFS

A column of A175595.

Sequence in context: A035999 A036010 A328545 * A218511 A008640 A008634

Adjacent sequences:  A192058 A192059 A192060 * A192062 A192063 A192064

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jun 21 2011

STATUS

approved

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Last modified May 17 12:01 EDT 2021. Contains 343971 sequences. (Running on oeis4.)