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

Terms

a(0) =1a(1) =1a(2) =1a(3) =3a(4) =3a(5) =1a(6) =7a(7) =9a(8) =4a(9) =1a(10) =19a(11) =26a(12) =15a(13) =5a(14) =1a(15) =51a(16) =75a(17) =50a(18) =21a(19) =6a(20) =1a(21) =141a(22) =216a(23) =161a(24) =78a(25) =28a(26) =7a(27) =1a(28) =393a(29) =623