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Search: id:A165941
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| A165941 |
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G.f.: A(x) = exp( Sum_{n>=1} 2^n*x^n/(1+x^n)/n ). |
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+0
1
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| 1, 2, 2, 6, 10, 18, 42, 78, 154, 314, 626, 1246, 2498, 4994, 9970, 19974, 39930, 79826, 159706, 319374, 638714, 1277530, 2554978, 5109854, 10219922, 20439714, 40879234, 81758854, 163517466, 327034514, 654069866, 1308139246, 2616277578
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Contrast to: exp( Sum_{n>=1} x^n/(1+x^n)/n ) = Sum_{n>=0} x^[n(n+1)/2].
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PROGRAM
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(PARI) {a(n)=if(n==0, 1, polcoeff(exp(sum(m=1, n, 2^m*x^m/(1+x^m+x*O(x^n))/m)), n))}
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CROSSREFS
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Sequence in context: A080460 A077017 A127404 this_sequence A054227 A054228 A044044
Adjacent sequences: A165938 A165939 A165940 this_sequence A165942 A165943 A165944
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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), Oct 20 2009
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