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Search: id:A135078
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| A135078 |
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E.g.f. A(x) = 1 + Sum_{n>=1} (1/n!)*Product_{k=0..n-1} [exp(3^k*x) - 1]. |
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+0
2
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| 1, 1, 4, 46, 1519, 145795, 41134753, 34354750885, 85260288495316, 630102185300832652, 13884412839047621240875, 912975607895806507921828357, 179255108346123463104458490745825
(list; graph; listen)
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OFFSET
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0,3
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EXAMPLE
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A(x) = 1 + x + 4x^2/2! + 46x^3/3! + 1519x^4/4! + 145795x^5/5! +...;
A(x) = 1 + [exp(x)-1] + [exp(x)-1][exp(3x)-1]/2! + [exp(x)-1][exp(3x)-1][exp(9x)-1]/3! + [exp(x)-1][exp(3x)-1][exp(9x)-1][exp(27x)-1]/4! +...
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PROGRAM
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(PARI) {a(n)=n!*polcoeff(1+sum(j=1, n, (1/j!)*prod(k=0, j-1, 1*exp(3^k*x)-1)), n)}
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CROSSREFS
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Cf. variants: A135077, A135079.
Sequence in context: A001623 A002077 A113096 this_sequence A107766 A065777 A006422
Adjacent sequences: A135075 A135076 A135077 this_sequence A135079 A135080 A135081
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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), Nov 24 2007
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