A026926 Number of partitions of n into an odd number of parts, the greatest being 6; also, a(n+11) = number of partitions of n+5 into an even number of parts, each <=6.

0, 0, 0, 0, 0, 1, 0, 1, 1, 3, 3, 6, 7, 11, 12, 18, 21, 30, 34, 46, 54, 70, 80, 101, 116, 143, 163, 197, 225, 269, 303, 357, 403, 469, 525, 606, 677, 774, 860, 976, 1082, 1221, 1346, 1509, 1661, 1852, 2029, 2252, 2462, 2720, 2964, 3261

Offset: 1

Author

Clark Kimberling

Keywords

• nonn

Crossrefs

6th column of A026920.

Programs

Mathematica

Table[Length[Select[IntegerPartitions[n],#[[1]]==6&&OddQ[Length[#]]&]],{n,60}] (* Harvey P. Dale, Dec 31 2022 *)