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A006177 Witt vector *2!/2!.
(Formerly M2750)
2
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; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

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

REFERENCES

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.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

FORMULA

Inverse Somos transform of A000108. (Wouter Meeussen, Aug 20 2002)

Witt transform of A022553.

CROSSREFS

Cf. A006173, A006973.

Sequence in context: A203413 A141799 A093969 * A148788 A022553 A148789

Adjacent sequences:  A006174 A006175 A006176 * A006178 A006179 A006180

KEYWORD

nonn

AUTHOR

Simon Plouffe (simon.plouffe(AT)gmail.com)

EXTENSIONS

Edited by Christian G. Bower (bowerc(AT)usa.net), Aug 20 2002, Aug 28 2002

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Last modified February 16 21:51 EST 2012. Contains 205978 sequences.