Coefficients of infinite sum polynomials; p(x,n)=If[Mod[n, 2] == 1, (1 - x)^(n + 1)*Sum[(k + 1)*(1 + k + k^2)^Floor[(n - 1)/2]* x^k, {k, 0, Infinity}], (1 - x)^(n + 1)*Sum[(1 + k + k^2)^Floor[n/2]*x^ k, {k, 0, Infinity}]].
A169625
Coefficients of infinite sum polynomials; p(x,n)=If[Mod[n, 2] == 1, (1 - x)^(n + 1)*Sum[(k + 1)*(1 + k + k^2)^Floor[(n - 1)/2]* x^k, {k, 0, Infinity}], (1 - x)^(n + 1)*Sum[(1 + k + k^2)^Floor[n/2]*x^ k, {k, 0, Infinity}]].
Terms
- a(0) =1a(1) =1a(2) =1a(3) =0a(4) =1a(5) =1a(6) =2a(7) =3a(8) =1a(9) =4a(10) =14a(11) =4a(12) =1a(13) =1a(14) =12a(15) =54a(16) =44a(17) =9a(18) =1a(19) =20a(20) =175a(21) =328a(22) =175a(23) =20a(24) =1a(25) =1a(26) =46a(27) =625a(28) =2012a(29) =1859
External references
- oeis: A169625