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.

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, 15, 17, 21, 23, 27, 31, 36, 41, 48, 54, 63, 72, 83, 94, 110, 124, 143, 163, 187, 212, 244, 276, 316, 358, 408, 461, 527, 594, 675, 762, 864, 973, 1103, 1240, 1402, 1577, 1778, 1996, 2251, 2523, 2838, 3181

Offset

1,24

Links

Table of n, a(n) for n=1..75.

Formula

a(n) + A027192(n) = A026799(n). - R. J. Mathar, Oct 18 2019

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

Crossrefs

Sequence in context: A014591 A286745 A286316 * A238215 A237757 A027197

Adjacent sequences: A027195 A027196 A027197 * A027199 A027200 A027201

Keyword

nonn

Author

Clark Kimberling

Extensions

More terms from Seiichi Manyama, May 15 2023

Status

approved