A symmetrical triangle:t(n,m)=Binomial[PartitionsP[n] + m, m] + Binomial[PartitionsP[n] + n - m, n - m] - (Binomial[PartitionsP[n] + 0, 0] + Binomial[PartitionsP[ n] + n - 0, n - 0]) + 1.

A176565

A symmetrical triangle:t(n,m)=Binomial[PartitionsP[n] + m, m] + Binomial[PartitionsP[n] + n - m, n - m] - (Binomial[PartitionsP[n] + 0, 0] + Binomial[PartitionsP[ n] + n - 0, n - 0]) + 1.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =0a(5) =1a(6) =1a(7) =-6a(8) =-6a(9) =1a(10) =1a(11) =-64a(12) =-84a(13) =-64a(14) =1a(15) =1a(16) =-454a(17) =-636a(18) =-636a(19) =-454a(20) =1a(21) =1a(22) =-7996a(23) =-10933a(24) =-11648a(25) =-10933a(26) =-7996a(27) =1a(28) =1a(29) =-116264

External references