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A070933
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Expansion of Product_{k>=1} 1/(1-2*t^k).
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3
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1, 2, 6, 14, 34, 74, 166, 350, 746, 1546, 3206, 6550, 13386, 27114, 54894, 110630, 222794, 447538, 898574, 1801590, 3610930, 7231858, 14480654, 28983246, 58003250, 116054034, 232186518, 464475166, 929116402, 1858449178
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| See A083355 for a similar formula. - Thomas Wieder (thomas.wieder(AT)t-online.de), May 07 2008
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REFERENCES
| Kent E. Morrison, Integer Sequences and Matrices Over Finite Fields, Journal of Integer Sequences, Vol. 9 (2006), Article 06.2.1.
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LINKS
| T. D. Noe, Table of n, a(n) for n=0..500
N. J. A. Sloane, Transforms
Dragomir Z. Djokovic, Poincare series of some pure and mixed trace algebras of two generic matrices.
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FORMULA
| a(n) = (1/n)*Sum_{k=1..n} A054598(k)*a(n-k). - Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 23 2002
a(n) is asymptotic to c*2^n where c=3.46253527447396564949732... - Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 26 2003
Euler transform of A000031(n). - Vladeta Jovovic (vladeta(AT)eunet.rs), Jun 23 2004
With p(n,k) = number of integer partitions of n into k parts we have a(n)=sum_{k=1}^n p(n,k) A000079(k). - Thomas Wieder (thomas.wieder(AT)t-online.de), May 07 2008
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MATHEMATICA
| CoefficientList[ Series[ Product[1 / (1 - 2t^k), {k, 1, 35}], {t, 0, 35}], t]
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CROSSREFS
| Cf. A006951, A000041.
Cf. A083355.
Sequence in context: A184697 A124613 A124614 * A059570 A018016 A182644
Adjacent sequences: A070930 A070931 A070932 * A070934 A070935 A070936
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KEYWORD
| nonn
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AUTHOR
| Sharon Sela (sharonsela(AT)hotmail.com), May 21 2002
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EXTENSIONS
| Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), May 25 2002
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