A triangular sequence of coefficients of polynomials: p(x,n)=(3*(x - 1)^(n)*Sum[(((-1)^(n)*(2*k + 1)^(n - 1)))*x^k, {k,0, Infinity}] -2*(x - 1)^(n + 1)*Sum[((-1)^(n + 1)*k^n)*x^k, {k, 0, Infinity}]/x).
A154336
A triangular sequence of coefficients of polynomials: p(x,n)=(3*(x - 1)^(n)*Sum[(((-1)^(n)*(2*k + 1)^(n - 1)))*x^k, {k,0, Infinity}] -2*(x - 1)^(n + 1)*Sum[((-1)^(n + 1)*k^n)*x^k, {k, 0, Infinity}]/x).
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =10a(5) =1a(6) =1a(7) =47a(8) =47a(9) =1a(10) =1a(11) =176a(12) =558a(13) =176a(14) =1a(15) =1a(16) =597a(17) =4442a(18) =4442a(19) =597a(20) =1a(21) =1a(22) =1926a(23) =29247a(24) =65812a(25) =29247a(26) =1926a(27) =1a(28) =1a(29) =6043
External references
- oeis: A154336