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A259112
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E.g.f. satisfies: A(x) = Integral 1 + A(x)^7 dx.
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6
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1, 5040, 76281004800, 37626350120206848000, 185657801986983855655526400000, 5150422429203073500358041285476352000000, 569512147150397429576160463881863910421954560000000, 199607288101583292042564550150623446229209414764068864000000000
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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) ~ 7^(7*n+7/3) * n^(1/6) * (sin(Pi/7)/Pi)^(7*n+7/6) * (7*n)! / (6^(1/6) * Gamma(1/6)).
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PROG
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(PARI) {a(n) = local(A=x); A = serreverse( intformal( 1/(1 + x^7 + O(x^(7*n+2))) ) ); (7*n+1)!*polcoeff(A, 7*n+1)}
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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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