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%I #13 Dec 07 2013 07:06:58
%S 1,2,2,12,12,12,24,24,24,24,720,720,720,720,720,1440,1440,1440,1440,
%T 1440,1440,60480,60480,60480,60480,60480,60480,60480,120960,120960,
%U 120960,120960,120960,120960,120960,120960,3628800
%N Repeat n+1 times A091137(n).
%C A002657(n) and A091137(n) are linked to the Bernoulli numbers B n.
%C Unreduced differences table of A002657(n)/A091137(n):
%C 1, 1/2, 5/12, 9/24, 251/720, 475/1440,...
%C -1/2, -1/12, -1/24, -19/720, -27/1440,... =-A141417(n+1)/A091137(n+1),
%C 5/12, 1/24, 11/720, 11/1440,...
%C -9/24, -19/720, -11/1440,...
%C 251/720, 27/1440,...
%C -475/1440,... etc.
%C This is an autosequence of the second kind: its inverse binomial transform is the signed sequence with the main diagonal double of the first upper diagonal.
%C a(n) is the denominators written by antidiagonals.
%D P. Curtz, Intégration numérique des systèmes différentiels à conditions initiales. Centre de Calcul Scientifique de l'Armement, Arcueil 1969. Pages 36 and 56.
%F Repeat n+1 times A091137(n). Triangle.
%e 1,
%e 2, 2,
%e 12, 12, 12,
%e 24, 24, 24, 24, etc.
%Y Cf. A195287, A002208/A002209 (reduced autosequence), A193546, A174727, A165313.
%K nonn,tabl,frac,less
%O 0,2
%A _Paul Curtz_, Dec 01 2013
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