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Search: id:A006177
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| A006177 |
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Witt vector *2!/2!.
(Formerly M2750)
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+0
3
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| 1, 1, 3, 8, 25, 72, 245, 772, 2692, 8925, 32065, 109890, 400023, 1402723, 5165327, 18484746, 68635477, 248339122, 930138521, 3406231198, 12810761323, 47306348881, 178987624513, 665627041157, 2528210175630, 9456885664122
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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The Somos transform sends sequence {a(n)} to sequence with g.f. Product (1/(1-a[i]*x^i)) i=1 to n.
If c is the Witt transform of b then b(n) = Sum ( A074650(n/d, c(d)) ), d|n
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
H. Gaudier, Relevement des coefficients binomiaux dans les vecteurs de Witt, S\'{e}minaire Lotharingien de Combinatoire. Institut de Recherche Math. Avanc\'{e}e, Universit\'{e} Louis Pasteur, Strasbourg, Actes 16 (1988), 358/S-18, pp. 93-108.
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FORMULA
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Inverse Somos transform of A000108. (Wouter Meeussen, Aug 20 2002)
Witt transform of A022553.
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CROSSREFS
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Cf. A006173, A006973.
Sequence in context: A018789 A141799 A093969 this_sequence A148788 A022553 A148789
Adjacent sequences: A006174 A006175 A006176 this_sequence A006178 A006179 A006180
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KEYWORD
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nonn
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AUTHOR
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Simon Plouffe (simon.plouffe(AT)gmail.com)
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EXTENSIONS
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Edited by Christian G. Bower (bowerc(AT)usa.net), Aug 20 2002, Aug 28 2002
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