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 A102230 Triangle, read by rows, where each column equals the convolution of A032349 with the prior column, starting with column 0 equal to A032349 shift right. 1
 1, 1, 1, 4, 5, 1, 24, 32, 9, 1, 172, 236, 76, 13, 1, 1360, 1896, 656, 136, 17, 1, 11444, 16116, 5828, 1348, 212, 21, 1, 100520, 142544, 53112, 13184, 2376, 304, 25, 1, 911068, 1298524, 494364, 128924, 25436, 3804, 412, 29, 1, 8457504, 12100952 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS Row sums equal A027307; the self-convolution of the row sums form A032349. Column 0 equals A032349 shift right. Column 1 is A102231. This triangle is a variant of A100326. LINKS FORMULA G.f.: A(x, y) = (1+x*F(x))/(1-x*y*F(x)) where F(x) is the g.f. of A032349 and satisfies F(x) = (1+x*F(x))^2/(1-x*F(x))^2. EXAMPLE This triangle is generated by the recurrence: T(n,k) = Sum_{i=0..n-k} T(i+1,0)*T(n-i-1,k-1) for n>k>0, T(n,0) = Sum_{i=0..n-1} (2*i+1)*T(n-1,i) for n>0, with T(0,0)=1. Rows begin: [1], [1,1], [4,5,1], [24,32,9,1], [172,236,76,13,1], [1360,1896,656,136,17,1], [11444,16116,5828,1348,212,21,1], [100520,142544,53112,13184,2376,304,25,1],... Column 0 is formed from the partial sums of the prior row after a term-by-term product with the odd numbers: T(2,0) = 1*T(1,0) + 3*T(1,1) = 1*1 + 3*1 = 4. T(3,0) = 1*T(2,0) + 3*T(2,1) + 5*T(2,2) = 1*4 + 3*5 + 5*1 = 24. PROG (PARI) {T(n, k)=if(n

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