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A349114
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a(n) = 4^n * P(n, 2*n), where P(n, x) is n-th Legendre polynomial.
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2
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1, 8, 376, 33984, 4526176, 797459200, 174910868224, 45926958135296, 14047764722238976, 4905641267399503872, 1925859774286175997952, 839619968812285810868224, 402496047174560754869846016, 210424519428145503482634174464, 119148510992477432889126160826368
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) ~ 2^(4*n) * n^(n - 1/2) / sqrt(Pi).
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MATHEMATICA
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Table[4^n*LegendreP[n, 2*n], {n, 0, 16}]
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PROG
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(PARI) a(n) = 4^n*pollegendre(n, 2*n); \\ Michel Marcus, Nov 08 2021
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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