A193848 Triangular array: (1/2)*A193846.
1, 2, 4, 4, 14, 13, 8, 40, 68, 40, 16, 104, 256, 284, 121, 32, 256, 824, 1336, 1094, 364, 64, 608, 2416, 5144, 6196, 4010, 1093, 128, 1408, 6656, 17536, 27824, 26608, 14216, 3280, 256, 3200, 17536, 55040, 108256, 136688, 108256, 49208, 9841, 512
Offset: 0
Examples
Triangle begins: 1; 2, 4; 4, 14, 13; 8, 40, 68, 40; 16, 104, 256, 284, 121; 32, 256, 824, 1336, 1094, 364; 64, 608, 2416, 5144, 6196, 4010, 1093; 128, 1408, 6656, 17536, 27824, 26608, 14216, 3280; ...
Links
- Andrew Howroyd, Table of n, a(n) for n = 0..1325 (rows 0..50)
Crossrefs
Cf. A193846.
Programs
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Mathematica
(See A193846.)
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PARI
T(n)={[Vecrev(p) | p<-Vec(1/(1 - 2*(1 + 2*y)*x + y*(2 + 3*y)*x^2) + O(x*x^n))]} { my(A=T(10)); for(i=1, #A, print(A[i])) } \\ Andrew Howroyd, Feb 18 2024
Formula
G.f.: 1/(1 - 2*(1 + 2*y)*x + y*(2 + 3*y)*x^2). - Andrew Howroyd, Feb 18 2024