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A349077
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a(n) = 4^n * P(2*n, n), where P(n, x) is n-th Legendre polynomial.
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4
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1, 4, 886, 575296, 748553926, 1638884021248, 5430931463592636, 25386301852394340352, 159203574262026117932614, 1290247693627696897075707904, 13126820230906199855332092508756, 163819123650250694146607819756929024, 2460884002303138397686849151579559249436
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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 - 1/2) * n^(2*n - 1/2) / sqrt(Pi).
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MATHEMATICA
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Table[4^n*LegendreP[2*n, n], {n, 0, 15}]
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PROG
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(PARI) a(n) = 4^n*pollegendre(2*n, 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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