Number of partitions p of n such that the multiplicity of (min(p) + max(p))/2 is a part.

Terms

a(0) =1a(1) =0a(2) =0a(3) =1a(4) =0a(5) =1a(6) =1a(7) =2a(8) =5a(9) =5a(10) =7a(11) =10a(12) =12a(13) =17a(14) =23a(15) =30a(16) =35a(17) =49a(18) =61a(19) =78a(20) =97a(21) =124a(22) =155a(23) =200a(24) =243a(25) =307a(26) =375a(27) =470a(28) =568a(29) =710