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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; text; internal format)
OFFSET

1,3

COMMENTS

The Somos transform sends sequence {a(n)} to sequence with g.f. Product_{i=1..n} 1/(1-a(i)*x^i).

If c is the Witt transform of b then b(n) = Sum_{d|n} A074650(n/d, c(d)).

REFERENCES

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

LINKS

Table of n, a(n) for n=1..26.

H. Gaudier, Relèvement des coefficients binomiaux dans les vecteurs de Witt, Séminaire Lotharingien de Combinatoire. Institut de Recherche Math. Avancée, Université Louis Pasteur, Strasbourg, Actes 16 (1988), 358/S-18, pp. 93-108.

H. Gaudier, Relèvement des coefficients binomiaux dans les vecteurs de Witt, Séminaire Lotharingien de Combinatoire. Institut de Recherche Math. Avancée, Université Louis Pasteur, Strasbourg, Actes 16 (1988), 358/S-18, pp. 93-107. (Annotated scanned copy)

FORMULA

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

Witt transform of A022553.

CROSSREFS

Cf. A006173, A006973.

Sequence in context: A259699 A259700 A213439 * A148788 A292778 A022553

Adjacent sequences:  A006174 A006175 A006176 * A006178 A006179 A006180

KEYWORD

nonn

AUTHOR

Simon Plouffe

EXTENSIONS

Edited by Christian G. Bower, Aug 20 2002, Aug 28 2002

STATUS

approved

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Last modified February 24 06:13 EST 2018. Contains 299597 sequences. (Running on oeis4.)