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Search: id:A128230
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A128230 Expansion of exp(x)/(1 - x - x^2/2!), where a(n) = 1 + n*a(n-1) + C(n,2)*a(n-2). +0
3
1, 2, 6, 25, 137, 936, 7672, 73361, 801705, 9856342, 134640146, 2023140417, 33163934641, 588936102860, 11263023492372, 230783643185881, 5044101110058737, 117136294344278346, 2880200768035996990 (list; graph; listen)
OFFSET

0,2

EXAMPLE

E.g.f.: exp(x)/(1 - x - x^2/2!) = 1 + 2*x + 6*x^2/2! + 25*x^3/3! + 137*x^4/4! + 936*x^5/5! + 7672*x^6/6! +... + a(n)*x^n/n! +...

where a(n) = 1 + n*a(n-1) + n*(n-1)*a(n-2)/2.

PROGRAM

(PARI) a(n)=n!*polcoeff(exp(x+x*O(x^n))/(1-x-x^2/2! +x*O(x^n)), n)

CROSSREFS

Cf. A087214, A000629, A128231, A128232.

Sequence in context: A020010 A102812 A020100 this_sequence A084784 A135881 A007815

Adjacent sequences: A128227 A128228 A128229 this_sequence A128231 A128232 A128233

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Feb 20 2007

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


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