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A027198 Number of partitions of n into an even number of parts, the least being 6; also, a(n+6) = number of partitions of n into an odd number of parts, each >=6. 2

%I #11 May 15 2023 11:13:47

%S 0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,5,6,8,9,11,13,

%T 15,17,21,23,27,31,36,41,48,54,63,72,83,94,110,124,143,163,187,212,

%U 244,276,316,358,408,461,527,594,675,762,864,973,1103,1240,1402,1577,1778,1996,2251,2523,2838,3181

%N Number of partitions of n into an even number of parts, the least being 6; also, a(n+6) = number of partitions of n into an odd number of parts, each >=6.

%F a(n) + A027192(n) = A026799(n). - _R. J. Mathar_, Oct 18 2019

%F G.f.: x^12 * Sum_{k>=0} x^(12*k)/Product_{j=1..2*k+1} (1-x^j). - _Seiichi Manyama_, May 15 2023

%K nonn

%O 1,24

%A _Clark Kimberling_

%E More terms from _Seiichi Manyama_, May 15 2023

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Last modified April 24 09:42 EDT 2024. Contains 371935 sequences. (Running on oeis4.)