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A182803 Number of 8-core partitions of n. 3
1, 1, 2, 3, 5, 7, 11, 15, 14, 22, 26, 32, 37, 45, 47, 56, 75, 77, 89, 102, 111, 124, 142, 147, 167, 182, 196, 210, 242, 249, 288, 322, 299, 349, 382, 393, 423, 467, 453, 499, 570, 563, 602, 669, 649, 716, 772, 754, 843, 907, 884 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..10000

FORMULA

G.f.: Product_{i>=1} (1-x^(8*i))^8/(1-x^i).

Euler transform of period 8 sequence [1,1,1,1,1,1,1,-7, .. ].

MAPLE

with(numtheory): A:= proc(n, t) option remember; local d, j; `if`(n=0, 1, add(add(`if`(t=0 or irem(d, t)=0, d-d*t, d), d=divisors(j)) *A(n-j, t), j=1..n)/n) end: seq(A(n, 8), n=0..50);

CROSSREFS

8th column of A175595.

Sequence in context: A184642 A094252 A209038 * A106532 A240556 A090693

Adjacent sequences:  A182800 A182801 A182802 * A182804 A182805 A182806

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Dec 03 2010

STATUS

approved

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Last modified January 18 18:32 EST 2018. Contains 297864 sequences.