A triangle sequence of polynomial coefficients: p(x,n)=(x - 1)^(3*n + 1)*Sum[(k*(k + 1)*(2*k + 1)/6)^n*x^k, {k, 0, Infinity}]/x.
A154284
A triangle sequence of polynomial coefficients: p(x,n)=(x - 1)^(3*n + 1)*Sum[(k*(k + 1)*(2*k + 1)/6)^n*x^k, {k, 0, Infinity}]/x.
Terms
- a(0) =1a(1) =1a(2) =-1a(3) =-18a(4) =-42a(5) =-18a(6) =-1a(7) =1a(8) =115a(9) =1539a(10) =5065a(11) =5065a(12) =1539a(13) =115a(14) =1a(15) =-1a(16) =-612a(17) =-30369a(18) =-359056a(19) =-1439038a(20) =-2255448a(21) =-1439038a(22) =-359056a(23) =-30369a(24) =-612a(25) =-1a(26) =1a(27) =3109a(28) =487944a(29) =16069256
External references
- oeis: A154284