A triangular sequence of polynomial coefficients: p(x,n)=((-1)^(n + 1)*(x - 1)^(n + 1)*Sum[(5*m + 4)^n*x^m, {m, 0, Infinity}] + (-1)^(n + 1)*(x - 1)^(n + 1)*Sum[(5*m + 1)^n*x^m, {m, 0, Infinity}]).

A154816

A triangular sequence of polynomial coefficients: p(x,n)=((-1)^(n + 1)*(x - 1)^(n + 1)*Sum[(5*m + 4)^n*x^m, {m, 0, Infinity}] + (-1)^(n + 1)*(x - 1)^(n + 1)*Sum[(5*m + 1)^n*x^m, {m, 0, Infinity}]).

Terms

    a(0) =2a(1) =5a(2) =5a(3) =17a(4) =66a(5) =17a(6) =65a(7) =685a(8) =685a(9) =65a(10) =257a(11) =6572a(12) =16342a(13) =6572a(14) =257a(15) =1025a(16) =60675a(17) =313300a(18) =313300a(19) =60675a(20) =1025a(21) =4097a(22) =549418a(23) =5340455a(24) =10712060a(25) =5340455a(26) =549418a(27) =4097a(28) =16385a(29) =4931825

External references