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A144683 E.g.f. satisfies: A(x/A(x)^3) = exp(x). +0
4
1, 1, 7, 154, 6625, 446776, 42088609, 5171653432, 792466370161, 146737621112464, 32079442602647521, 8134165156479090136, 2358873194743497162889, 773523517692799444058632, 284154419348084944647780289 (list; graph; listen)
OFFSET

0,3

FORMULA

E.g.f. satisfies: A(x) = exp( x*A(log A(x))^3 ).

E.g.f. A(x) = G(3x)^(1/3) where G(x/G(x)) = exp(x) and G(x) is the g.f. of A144681.

EXAMPLE

E.g.f. A(x) = 1 + x + 7*x^2/2! + 154*x^3/3! + 6625*x^4/4! +...

PROGRAM

(PARI) {a(n)=local(A=1+x+x*O(x^n)); for(n=0, n, A=exp(serreverse(x/A^3))); n!*polcoeff(A, n)}

CROSSREFS

Cf. A144681, A144682, A144684.

Sequence in context: A159659 A100868 A006761 this_sequence A141835 A111831 A139226

Adjacent sequences: A144680 A144681 A144682 this_sequence A144684 A144685 A144686

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Sep 19 2008

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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