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A328546 Number of 12-regular partitions of n (no part is a multiple of 12). 11
1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 56, 76, 100, 133, 173, 226, 290, 374, 475, 605, 762, 960, 1199, 1497, 1856, 2299, 2831, 3482, 4261, 5208, 6337, 7700, 9321, 11266, 13572, 16325, 19578, 23444, 27999, 33389, 39721, 47185, 55929, 66199, 78199, 92246 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

REFERENCES

Kathiravan, T., and S. N. Fathima. "On L-regular bipartitions modulo L." The Ramanujan Journal 44.3 (2017): 549-558.

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..10000

MAPLE

f:=(k, M) -> mul(1-q^(k*j), j=1..M);

LRP := (L, M) -> f(L, M)/f(1, M);

s := L -> seriestolist(series(LRP(L, 80), q, 60));

s(12);

MATHEMATICA

Table[Count[IntegerPartitions@n, x_ /; ! MemberQ [Mod[x, 12], 0, 2] ], {n, 0, 46}] (* Robert Price, Jul 28 2020 *)

CROSSREFS

Number of r-regular partitions for r = 2 through 12: A000009, A000726, A001935, A035959, A219601, A035985, A261775, A104502, A261776, A328545, A328546.

Sequence in context: A036011 A325856 A104501 * A242697 A218512 A008635

Adjacent sequences:  A328543 A328544 A328545 * A328547 A328548 A328549

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Oct 19 2019

STATUS

approved

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Last modified June 19 12:52 EDT 2021. Contains 345129 sequences. (Running on oeis4.)