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Number of partitions of n into an even number of parts, the least being 2; also, a(n+2) = number of partitions of n into an odd number of parts, each >=2.
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%I #11 May 15 2023 11:14:01

%S 0,0,0,1,1,1,1,2,2,3,4,6,7,10,12,17,21,27,33,44,53,68,83,105,127,159,

%T 192,239,288,353,424,519,620,752,898,1083,1288,1545,1831,2188,2587,

%U 3074,3624,4294,5046,5954,6982,8210,9601,11255,13129

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

%F a(n+2) + A027188(n+2) = A002865(n). - _R. J. Mathar_, Jun 16 2018

%F G.f.: x^4 * Sum_{k>=0} x^(4*k)/Product_{j=1..2*k+1} (1-x^j). - _Seiichi Manyama_, May 15 2023

%K nonn

%O 1,8

%A _Clark Kimberling_