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Search: id:A135934
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| A135934 |
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O.g.f.: A(x) = Sum_{n>=0} x^n / Product_{k=0..n} (1 - fibonacci(k)*x). |
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+0
1
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| 1, 1, 2, 4, 9, 24, 77, 299, 1419, 8312, 60452, 547939, 6213566, 88468601, 1585646789, 35846274127, 1023893974778, 37005881297226, 1694206791508891, 98335493373334998, 7241161595237290969, 676871453643079089963
(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/(1-x) + x^2/((1-x)(1-x)) + x^3/((1-x)(1-x)(1-2x)) +
x^4/((1-x)(1-x)(1-2x)(1-3x)) + x^5/((1-x)(1-x)(1-2x)(1-3x)(1-5x)) +
x^6/((1-x)(1-x)(1-2x)(1-3x)(1-5x)(1-8x)) +...
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PROGRAM
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(PARI) {a(n)=polcoeff(sum(k=0, n, x^k/prod(j=0, k, 1-fibonacci(j)*x+x*O(x^n))), n)}
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CROSSREFS
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Cf. A000045.
Sequence in context: A000667 A131351 A091352 this_sequence A137154 A098448 A006406
Adjacent sequences: A135931 A135932 A135933 this_sequence A135935 A135936 A135937
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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), Dec 07 2007
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