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Search: id:A090366
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| A090366 |
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Shifts 1 place left under the INVERT transform of the BINOMIAL transform of the self-convolution of this sequence. |
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+0 3
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| 1, 1, 4, 21, 131, 917, 6988, 56965, 491240, 4447558, 42048457, 413473928, 4215959294, 44469487070, 484303175837, 5437300482651, 62848069403649, 747063566345320, 9123406697372938, 114370704441951620
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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G.f.: A(x) = 1/(1 - A(x/(1-x))^2*x/(1-x) ).
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PROGRAM
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(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)))}
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CROSSREFS
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Cf. A090365, A090367.
Sequence in context: A141052 A058308 A078591 this_sequence A131965 A104982 A001909
Adjacent sequences: A090363 A090364 A090365 this_sequence A090367 A090368 A090369
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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 26 2003
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