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.

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, 14, 15, 19, 21, 26, 29, 35, 39, 48, 53, 63, 71, 84, 94, 111, 124, 145, 163, 189, 212, 247, 276, 318, 358, 411, 461, 529, 593, 678, 761, 866, 971, 1106, 1238, 1404, 1574, 1781, 1993

Offset

1,20

Links

Table of n, a(n) for n=1..71.

Formula

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

Crossrefs

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

Sequence in context: A025153 A026803 A286041 * A194255 A194245 A317648

Adjacent sequences: A027189 A027190 A027191 * A027193 A027194 A027195

Keyword

nonn

Author

Clark Kimberling

Extensions

More terms from Vladeta Jovovic, Aug 01 2009

Status

approved