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 A328545 Number of 11-regular partitions of n (no part is a multiple of 11). 12

%I

%S 1,1,2,3,5,7,11,15,22,30,42,55,76,99,132,171,224,286,370,468,597,750,

%T 945,1177,1472,1820,2255,2772,3410,4165,5092,6185,7515,9085,10978,

%U 13207,15884,19025,22774,27170,32388,38489,45705,54120,64030,75569,89100

%N Number of 11-regular partitions of n (no part is a multiple of 11).

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

%H Seiichi Manyama, <a href="/A328545/b328545.txt">Table of n, a(n) for n = 0..10000</a>

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

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

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

%p s(11);

%t Table[Count[IntegerPartitions@n, x_ /; ! MemberQ [Mod[x, 11], 0, 2] ], {n, 0, 46}]

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

%K nonn

%O 0,3

%A _N. J. A. Sloane_, Oct 19 2019

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Last modified June 25 10:09 EDT 2021. Contains 345453 sequences. (Running on oeis4.)