A triangular sequence of coefficients: p(x,n)=((-1)^(n + 1)*(x - 1)^(n + 1)*Sum[(2*m - 1)^n*x^m, {m, 0, Infinity}] + (-1)^(n + 1)*(x - 1)^(n + 1)*Sum[(2*m + 3)^n*x^m, {m, 0, Infinity}])/2.
A154649
A triangular sequence of coefficients: p(x,n)=((-1)^(n + 1)*(x - 1)^(n + 1)*Sum[(2*m - 1)^n*x^m, {m, 0, Infinity}] + (-1)^(n + 1)*(x - 1)^(n + 1)*Sum[(2*m + 3)^n*x^m, {m, 0, Infinity}])/2.
Terms
- a(0) =1a(1) =1a(2) =1a(3) =5a(4) =-2a(5) =5a(6) =13a(7) =11a(8) =11a(9) =13a(10) =41a(11) =108a(12) =86a(13) =108a(14) =41a(15) =121a(16) =837a(17) =962a(18) =962a(19) =837a(20) =121a(21) =365a(22) =5258a(23) =12163a(24) =10508a(25) =12163a(26) =5258a(27) =365a(28) =1093a(29) =30319
External references
- oeis: A154649