A027357 Number of partitions of n into distinct odd parts, the greatest being congruent to 1 mod 4.

1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 4, 3, 2, 3, 5, 5, 3, 5, 8, 6, 5, 7, 10, 10, 8, 11, 15, 14, 12, 15, 20, 20, 18, 22, 28, 27, 25, 30, 37, 38, 35, 42, 51, 50, 49, 56, 67, 69, 67, 77, 90, 91, 90, 102, 117, 121, 121, 135, 155, 159, 160, 177

Offset: 1

Author

Clark Kimberling

Keywords

• nonn

Comments

Also number of self-conjugate partitions of n into an odd number of parts. - Vladeta Jovovic, Feb 18 2004

Crossrefs

Cf. A027356, A027358.

Cf. A000700, A053250.

Formula

a(n) = (A000700(n)-(-1)^n*A053250(n))/2. - Vladeta Jovovic, Mar 12 2006

a(n) = Sum_{k=0..floor(n/4)-1} A027356(n, 4*k+1). - Sean A. Irvine, Oct 28 2019