cp's OEIS Frontend

A134083 A007318 * A134082.

%I A134083 #12 Mar 25 2022 19:37:05
%S A134083 1,3,1,5,6,1,7,15,9,1,9,28,30,12,1,11,45,70,50,15,1,13,66,135,140,75,
%T A134083 18,1,15,91,231,315,245,105,21,1,17,120,364,616,630,392,140,24,1,19,
%U A134083 153,540,1092,1386,1134,588,180,27,1
%N A134083 A007318 * A134082.
%C A134083 Row sums = A001787: (1, 4, 12, 32, 80, 192, ...).
%C A134083 A134083 * [1,2,3,...] = A084850: (1, 5, 20, 68, 208, 592, ...).
%F A134083 Binomial transform of A134082
%F A134083 From formalism in A132382, e.g.f. = I_o[2*(u*x)^(1/2)] exp(x)(1+2x) where I_o is the zeroth modified Bessel function of the first kind, i.e., I_o[2*(u*x)^(1/2)] = Sum_{j>=0} u^j/j! * x^j/j!. - _Tom Copeland_, Dec 07 2007
%F A134083 Row polynomial e.g.f.: exp(x*y) * exp(x) * (1+2x). - _Tom Copeland_, Dec 03 2013
%e A134083 First few rows of the triangle:
%e A134083    1;
%e A134083    3,  1;
%e A134083    5,  6,   1;
%e A134083    7, 15,   9,   1;
%e A134083    9, 28,  30,  12,   1;
%e A134083   11, 45,  70,  50,  15,   1;
%e A134083   13, 66, 135, 140,  75,  18,  1;
%e A134083   15, 91, 231, 315, 245, 105, 21, 1;
%e A134083   ...
%Y A134083 Cf. A134082, A001787, A084850.
%K A134083 nonn,tabl
%O A134083 0,2
%A A134083 _Gary W. Adamson_, Oct 07 2007