Triangle whose k-th column has e.g.f. exp(x)*sum{j=0..k, (-1)^j*Bessel_I(k+j,2x)}.

Terms

a(0) =1a(1) =1a(2) =1a(3) =3a(4) =1a(5) =1a(6) =7a(7) =3a(8) =2a(9) =1a(10) =19a(11) =6a(12) =7a(13) =3a(14) =1a(15) =51a(16) =15a(17) =20a(18) =11a(19) =4a(20) =1a(21) =141a(22) =36a(23) =61a(24) =34a(25) =16a(26) =5a(27) =1a(28) =393a(29) =91