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 A218297 E.g.f.: Sum_{n>=0} (n^2)^n * cosh(n^2*x) * x^n/n!. 0
 1, 1, 16, 732, 67072, 10356120, 2428502016, 806564304896, 360766703665152, 209198209220565120, 152649491877210357760, 136856491451984089032192, 147838797016098042267303936, 189330891572377497747235278848, 283553443348816020717858371665920 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Compare e.g.f. to the o.g.f. of A007820: Sum_{n>=0} (n^2)^n * exp(-n^2*x) * x^n/n!. LINKS Table of n, a(n) for n=0..14. EXAMPLE E.g.f.: A(x) = 1 + x + 16*x^2/2! + 732*x^3/3! + 67072*x^4/4! + 10356120*x^5/5! +... PROG (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), ", ")) CROSSREFS Cf. A007820. Sequence in context: A062206 A209537 A086701 * A339202 A307923 A159375 Adjacent sequences: A218294 A218295 A218296 * A218298 A218299 A218300 KEYWORD nonn AUTHOR Paul D. Hanna, Oct 27 2012 STATUS approved

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Last modified February 21 14:25 EST 2024. Contains 370235 sequences. (Running on oeis4.)