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A006177 Witt vector *2!/2!.
(Formerly M2750)
3

%I M2750 #22 Nov 03 2017 22:19:02

%S 1,1,3,8,25,72,245,772,2692,8925,32065,109890,400023,1402723,5165327,

%T 18484746,68635477,248339122,930138521,3406231198,12810761323,

%U 47306348881,178987624513,665627041157,2528210175630,9456885664122

%N Witt vector *2!/2!.

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

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

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

%H H. Gaudier, <a href="http://www.emis.de/journals/SLC/opapers/s18gaudier.html">Relèvement des coefficients binomiaux dans les vecteurs de Witt</a>, Séminaire Lotharingien de Combinatoire. Institut de Recherche Math. Avancée, Université Louis Pasteur, Strasbourg, Actes 16 (1988), 358/S-18, pp. 93-108.

%H H. Gaudier, <a href="/A006173/a006173.pdf">Relèvement des coefficients binomiaux dans les vecteurs de Witt</a>, 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)

%F Inverse Somos transform of A000108. - _Wouter Meeussen_, Aug 20 2002

%F Witt transform of A022553.

%Y Cf. A006173, A006973.

%K nonn

%O 1,3

%A _Simon Plouffe_

%E Edited by _Christian G. Bower_, Aug 20 2002, Aug 28 2002

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Last modified April 25 11:06 EDT 2024. Contains 371967 sequences. (Running on oeis4.)