A006177 Witt vector *2!/2!. (Formerly M2750)

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

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