%I A116399
%S A116399 1,0,1,2,1,1,0,3,1,1,6,4,5,1,1,0,10,5,6,1,1,20,15,21,7,7,1,1,0,35,21,28,
%T A116399 8,8,1,1,70,56,84,36,37,9,9,1,1,0,126,84,120,45,46,10,10,1,1,252,210,
%U A116399 330,165,175,56,56,11,11,1,1
%N A116399 Triangle whose k-th column has e.g.f. sum{j=0..k, Bessel_I(k+j,2x)}.
%C A116399 Second column is A037952. Third column is the double of A002054. Product 
               of A007318 and A116399 is A116401.
%e A116399 Triangle begins
%e A116399 1,
%e A116399 0, 1,
%e A116399 2, 1, 1,
%e A116399 0, 3, 1, 1,
%e A116399 6, 4, 5, 1, 1,
%e A116399 0, 10, 5, 6, 1, 1,
%e A116399 20, 15, 21, 7, 7, 1, 1
%Y A116399 Sequence in context: A100218 A098599 A129334 this_sequence A116405 A029352 
               A055168
%Y A116399 Adjacent sequences: A116396 A116397 A116398 this_sequence A116400 A116401 
               A116402
%K A116399 easy,nonn,tabl
%O A116399 0,4
%A A116399 Paul Barry (pbarry(AT)wit.ie), Feb 13 2006