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Triangle whose k-th column has e.g.f. sum{j=0..k, Bessel_I(k+j,2x)}.
3

%I #2 Mar 30 2012 18:59:14

%S 1,0,1,2,1,1,0,3,1,1,6,4,5,1,1,0,10,5,6,1,1,20,15,21,7,7,1,1,0,35,21,

%T 28,8,8,1,1,70,56,84,36,37,9,9,1,1,0,126,84,120,45,46,10,10,1,1,252,

%U 210,330,165,175,56,56,11,11,1,1

%N Triangle whose k-th column has e.g.f. sum{j=0..k, Bessel_I(k+j,2x)}.

%C Second column is A037952. Third column is the double of A002054. Product of A007318 and A116399 is A116401.

%e Triangle begins

%e 1,

%e 0, 1,

%e 2, 1, 1,

%e 0, 3, 1, 1,

%e 6, 4, 5, 1, 1,

%e 0, 10, 5, 6, 1, 1,

%e 20, 15, 21, 7, 7, 1, 1

%K easy,nonn,tabl

%O 0,4

%A _Paul Barry_, Feb 13 2006