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A218297
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E.g.f.: Sum_{n>=0} (n^2)^n * cosh(n^2*x) * x^n/n!.
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0
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1, 1, 16, 732, 67072, 10356120, 2428502016, 806564304896, 360766703665152, 209198209220565120, 152649491877210357760, 136856491451984089032192, 147838797016098042267303936, 189330891572377497747235278848, 283553443348816020717858371665920
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OFFSET
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0,3
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COMMENTS
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Compare e.g.f. to the o.g.f. of A007820: Sum_{n>=0} (n^2)^n * exp(-n^2*x) * x^n/n!.
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LINKS
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EXAMPLE
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E.g.f.: A(x) = 1 + x + 16*x^2/2! + 732*x^3/3! + 67072*x^4/4! + 10356120*x^5/5! +...
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PROG
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(PARI) {a(n)=polcoeff(serlaplace(sum(k=0, n, (k^2*x)^k/k!*cosh(-k^2*x +x*O(x^n)))), n)}
for(n=0, 20, print1(a(n), ", "))
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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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