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Search: id:A084432
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| A084432 |
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G.f.: 2/(1-x) + sum(k>=0, t^2(3-t)/(1+t)/(1-t)^2, t=x^2^k). |
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+0
1
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| 2, 5, 4, 10, 6, 11, 8, 19, 10, 17, 12, 24, 14, 23, 16, 36, 18, 29, 20, 38, 22, 35, 24, 49, 26, 41, 28, 52, 30, 47, 32, 69, 34, 53, 36, 66, 38, 59, 40, 79, 42, 65, 44, 80, 46, 71, 48, 98, 50, 77, 52, 94, 54, 83, 56, 109, 58, 89, 60, 108, 62, 95, 64, 134, 66, 101
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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a(1)=2, a(2n) = a(n)+2n+1, a(2n+1) = 2n+2.
Dirichlet g.f.: 2^s/(2^s-1) * (zeta(s)+zeta(s-1)) - Ralf Stephan, Jun 17 2007
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PROGRAM
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(PARI) for(n=1, 100, l=ceil(log2(n)):t=polcoeff(sum(k=0, l, 1/(1-x^2^k)^2), n):print1(t", "))
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CROSSREFS
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Cf. A069895.
Sequence in context: A123302 A120119 A048678 this_sequence A071297 A114393 A100710
Adjacent sequences: A084429 A084430 A084431 this_sequence A084433 A084434 A084435
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KEYWORD
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nonn,easy
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AUTHOR
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Ralf Stephan (ralf(AT)ark.in-berlin.de), Jun 27 2003
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