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%I #8 Feb 21 2024 08:18:54
%S 1,1,1,3,1,1,7,3,2,1,19,6,7,3,1,51,15,20,11,4,1,141,36,61,34,16,5,1,
%T 393,91,182,105,55,22,6,1,1107,232,546,314,183,83,29,7,1,3139,603,
%U 1632,930,588,295,119,37,8,1,8953,1585,4875,2727,1858,1001,451,164,46,9,1
%N Triangle whose k-th column has e.g.f. exp(x)*sum{j=0..k, (-1)^j*Bessel_I(k+j,2x)}.
%C First column is A002426. Second column is A005043(n+1). Third column is A116408.
%C Row sums are A116409. Product of A007318 and A116405.
%e Triangle begins:
%e 1;
%e 1, 1;
%e 3, 1, 1;
%e 7, 3, 2, 1;
%e 19, 6, 7, 3, 1;
%e 51, 15, 20, 11, 4, 1;
%e ...
%Y Cf. A002426, A005043, A116408, A116409, A007318, A116405.
%K easy,nonn,tabl
%O 0,4
%A _Paul Barry_, Feb 13 2006
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