A117267 Difference row triangle of A117189.
1, 1, 2, 2, 3, 5, 4, 6, 9, 14, 7, 11, 17, 26, 40, 13, 20, 31, 48, 74, 114, 24, 37, 57, 88, 136, 210, 324, 44, 68, 105, 162, 250, 386, 596, 920, 81, 125, 193, 298, 460, 710, 1096, 1692, 2612, 149, 230, 355, 548, 846, 1306, 2016, 3112, 4804, 7416
Offset: 1
Examples
Taking difference rows of A117189, we get: 1, 2, 5, 14, 40, 114, ... 1, 3, 9, 26, 74, ... 2, 6, 17, 48, ... 4, 11, 31, ... 7, 20, ... 13, ... Reorient into the triangle: 1; 1, 2; 2, 3, 5; 4, 6, 9, 14; 7, 11, 17, 26, 40; ...
Programs
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PARI
lista(nn) = my(va = Vec(-(x-1)^2/(-1+4*x-4*x^2+2*x^3) + O(x^(nn))), v = vector(nn)); v[1] = va; for (n=2, nn, v[n] = vector(nn-n+1, k, v[n-1][k+1] - v[n-1][k]);); my(list = List()); for (n=1, nn, my(i = n, j = 1); for (k=1, n, listput(list, v[i][j]); i--; j++;);); Vec(list); \\ Michel Marcus, Aug 10 2023
Extensions
More terms from Michel Marcus, Aug 10 2023
Comments