A309043 Expansion of Product_{k>=0} (1 + x^(2^k) + x^(2^(k+1)))^2.
1, 2, 5, 6, 12, 14, 23, 22, 35, 36, 56, 52, 77, 74, 105, 90, 124, 114, 163, 142, 199, 184, 256, 216, 289, 258, 357, 302, 404, 358, 479, 390, 499, 428, 576, 476, 629, 554, 745, 610, 788, 682, 923, 766, 1007, 880, 1168, 944, 1193, 1010, 1341, 1094, 1420, 1230, 1631, 1318, 1667
Offset: 0
Keywords
Programs
-
Mathematica
nmax = 56; CoefficientList[Series[Product[(1 + x^(2^k) + x^(2^(k + 1)))^2, {k, 0, Floor[Log[2, nmax]] + 1}], {x, 0, nmax}], x] nmax = 56; A[] = 1; Do[A[x] = (1 + x + x^2)^2 A[x^2] + O[x]^(nmax + 1) // Normal, nmax + 1]; CoefficientList[A[x], x]