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Search: id:A096537
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| A096537 |
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E.g.f.: A(x) = exp(x*exp(2*x*exp(3*x*exp(...exp(n*x*exp(...))...)))), for n>=1. |
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+0
3
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| 1, 1, 5, 61, 1377, 49721, 2625313, 190735749, 18246616321, 2223115264945, 336071395603521, 61725395919953789, 13537971184957280449, 3494778862390292571849, 1048886507411306132337889
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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Row sums of triangle A096542; also a(n) = A096542(n+1, 1)/(n+1) for n>=0.
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EXAMPLE
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A(x) = 1 + 1*x + 5*x^2/2! + 61*x^3/3! + 1377*x^4/4! + 49721*x^5/5! +...
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PROGRAM
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(PARI) a(n)=local(A=exp(x)); for(i=1, n, A=exp(x*(n-i+1)*A+x*O(x^n))); n!*polcoeff(A, n)
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CROSSREFS
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Cf. A096542.
Sequence in context: A083082 A009825 A065919 this_sequence A115047 A028296 A000364
Adjacent sequences: A096534 A096535 A096536 this_sequence A096538 A096539 A096540
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Jun 24 2004
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