A027194 - OEIS

A027194

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.

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, 192, 239, 288, 353, 424, 519, 620, 752, 898, 1083, 1288, 1545, 1831, 2188, 2587, 3074, 3624, 4294, 5046, 5954, 6982, 8210, 9601, 11255, 13129

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OFFSET

1,8

LINKS

Table of n, a(n) for n=1..51.

FORMULA

a(n+2) + A027188(n+2) = A002865(n). - R. J. Mathar, Jun 16 2018

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

CROSSREFS

Sequence in context: A116665 A122135 A339572 * A039883 A024186 A239833

Adjacent sequences: A027191 A027192 A027193 * A027195 A027196 A027197

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved