A349114 - OEIS

A349114

a(n) = 4^n * P(n, 2*n), where P(n, x) is n-th Legendre polynomial.

1, 8, 376, 33984, 4526176, 797459200, 174910868224, 45926958135296, 14047764722238976, 4905641267399503872, 1925859774286175997952, 839619968812285810868224, 402496047174560754869846016, 210424519428145503482634174464, 119148510992477432889126160826368

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..14.

Eric Weisstein's World of Mathematics, Legendre Polynomial.

Wikipedia, Legendre polynomials.

FORMULA

a(n) ~ 2^(4*n) * n^(n - 1/2) / sqrt(Pi).

MATHEMATICA

Table[4^n*LegendreP[n, 2*n], {n, 0, 16}]

PROG