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%I #16 Sep 02 2018 01:40:00
%S 1,1,2,1,6,3,1,6,3,4,1,10,5,2,5,1,6,3,12,3,6,1,210,105,21,15,6,7,1,2,
%T 1,12,3,3,1,8,1,30,15,6,15,9,3,6,9,1,42,21,420,15,10,35,20,3,10,1,110,
%U 55,33,165,66,1,2,3,2,11,1,6,3,20,5,45,15,40,9,10,3,12
%N Triangle of Faulhaber numbers (denominators) read by rows.
%C The numerators are given in A065551. - _Wolfdieter Lang_, Jun 25 1011
%H Ira M. Gessel and X. G. Viennot, <a href="http://people.brandeis.edu/~gessel/homepage/papers/pp.pdf">Determinants, paths and plane partitions</a>, 1989, p. 27, eqn 12.2
%F sum(n>=0, k>=0, f(n, k)*t^k*x^(2*n+1)/(2*n+1)! ) is the expansion of (cosh(sqrt(1+4*t)*x/2)-cosh(x/2))/t/sinh(x/2).
%F a(n,k) = denominator(f(n,k)). - _Wolfdieter Lang_, Jun 25 2011
%e {1}, {1, 2}, {1, 6, 3}, {1, 6, 3, 4}, {1, 10, 5, 2, 5}, {1, 6, 3, 12, 3, 6}, ...
%Y Cf. A065551.
%K frac,nonn,tabl
%O 0,3
%A _Wouter Meeussen_, Dec 02 2001