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A014780 Triangle of numbers associated with Genocchi numbers. 0

%I #22 Jun 03 2022 03:24:57

%S 1,1,1,1,3,3,5,3,3,17,17,31,25,31,17,17,155,155,293,259,349,259,293,

%T 155,155,2073,2073,3991,3681,5151,4289,5151,3681,3991,2073,2073,38227,

%U 38227,74381,70235,100325,88507,109765,88507,100325,70235,74381,38227

%N Triangle of numbers associated with Genocchi numbers.

%C When written in the triangle form as in the example below, the k-th entry (k>=1) in row n (n>=1) is the number of Dumont permutations of the first kind of length 2*n that start with k+1. - _Alexander Burstein_, May 14 2022

%H G. Kreweras, <a href="https://doi.org/10.1006/eujc.1995.0081">Sur les permutations comptées par les nombres de Genocchi de 1-ière et 2-ième espèce</a>, Europ. J. Comb., vol. 18, pp. 49-58, 1997.

%F Row sums give A110501.

%e Triangle begins:

%e 1;

%e 1, 1, 1;

%e 3, 3, 5, 3, 3;

%e 17, 17, 31, 25, 31, 17, 17;

%e ...

%Y Cf. A110501, A014782, A014783, A014784.

%K tabf,nonn,easy

%O 1,5

%A _N. J. A. Sloane_

%E More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Mar 22 2003

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Last modified September 15 12:32 EDT 2024. Contains 375938 sequences. (Running on oeis4.)