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A027192 Number of partitions of n into an odd number of parts, the least being 6; also, a(n+6) = number of partitions of n into an even number of parts, each >=6. 2

%I #14 May 15 2023 11:13:21

%S 0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,5,5,6,6,8,8,10,11,

%T 14,15,19,21,26,29,35,39,48,53,63,71,84,94,111,124,145,163,189,212,

%U 247,276,318,358,411,461,529,593,678,761,866,971,1106,1238,1404,1574,1781,1993

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

%F G.f.: x^6 * Sum_{k>=0} x^(12*k)/Product_{j=1..2*k} (1-x^j). - _Seiichi Manyama_, May 15 2023

%Y Cf. A027187, A027188, A027189, A027190, A027191, A027198.

%K nonn

%O 1,20

%A _Clark Kimberling_

%E More terms from _Vladeta Jovovic_, Aug 01 2009

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Last modified May 20 21:47 EDT 2024. Contains 372720 sequences. (Running on oeis4.)