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Search: id:A090366
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A090366 Shifts 1 place left under the INVERT transform of the BINOMIAL transform of the self-convolution of this sequence. +0
3
1, 1, 4, 21, 131, 917, 6988, 56965, 491240, 4447558, 42048457, 413473928, 4215959294, 44469487070, 484303175837, 5437300482651, 62848069403649, 747063566345320, 9123406697372938, 114370704441951620 (list; graph; listen)
OFFSET

0,3

FORMULA

G.f.: A(x) = 1/(1 - A(x/(1-x))^2*x/(1-x) ).

PROGRAM

(PARI) {a(n)=local(A); if(n<0, 0, A=1+x+x*O(x^n); for(k=1, n, B=subst(A^2, x, x/(1-x))/(1-x)+x*O(x^n); A=1+x*A*B); polcoeff(A, n, x)))}

CROSSREFS

Cf. A090365, A090367.

Sequence in context: A141052 A058308 A078591 this_sequence A131965 A104982 A001909

Adjacent sequences: A090363 A090364 A090365 this_sequence A090367 A090368 A090369

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Nov 26 2003

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


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