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A349067
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a(n) = H(3*n, n), where H(n,x) is n-th Hermite polynomial.
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3
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1, -4, -824, -406944, 854857408, 36727035808000, 1350597603460566528, 70169228831160001808384, 5261285254051930823802720256, 556216363355718012207356567863296, 80574670961706857240366003306352640000, 15573012689517863187913236259514917169004544
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OFFSET
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0,2
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COMMENTS
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In general, for k>=1, H(k*n,n) ~ exp(-k^2/4) * 2^(k*n) * n^(k*n).
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LINKS
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FORMULA
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a(n) ~ exp(-9/4) * 2^(3*n) * n^(3*n).
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MAPLE
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a:= n-> simplify(HermiteH(3*n, n)):
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MATHEMATICA
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Table[HermiteH[3*n, n], {n, 0, 12}]
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PROG
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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