A117194 Number of partitions of n into distinct parts with an even rank greater than 0.

0, 0, 1, 0, 2, 1, 3, 2, 4, 5, 6, 7, 8, 12, 13, 16, 18, 24, 26, 32, 37, 46, 52, 60, 70, 83, 96, 111, 128, 148, 170, 194, 224, 256, 293, 333, 380, 432, 492, 556, 630, 712, 804, 908, 1025, 1152, 1296, 1454, 1632, 1828, 2048, 2292, 2560, 2858, 3189, 3554, 3959, 4404

Offset

1,5

Comments

a(n) = Sum(A117195(n,k)*(1 - k mod 2): 0<k<n) = A117192(n)-A010054(n).

Links

Table of n, a(n) for n=1..58.

Crossrefs

Sequence in context: A026272 A193564 A022447 * A340647 A318746 A318729

Adjacent sequences: A117191 A117192 A117193 * A117195 A117196 A117197

Keyword

nonn

Author

Reinhard Zumkeller, Mar 03 2006

Status

approved