OFFSET
0,6
FORMULA
G.f. of column k: 1/(1 - x/(1 - 3^k*x/(1 - 5^k*x/(1 - 7^k*x/(1 - 9^k*x/(1 - ...)))))), a continued fraction.
EXAMPLE
Square array begins:
1, 1, 1, 1, 1, 1, ...
1, 1, 1, 1, 1, 1, ...
2, 4, 10, 28, 82, 244, ...
5, 31, 325, 4159, 57349, 818911, ...
14, 364, 22150, 1790452, 162045118, 15520964284, ...
42, 5746, 2586250, 1691509906, 1289803048426, 1063421637466546, ...
MATHEMATICA
Table[Function[k, SeriesCoefficient[1/(1 + ContinuedFractionK[-(2 i - 1)^k x, 1, {i, 1, n}]), {x, 0, n}]][j - n], {j, 0, 9}, {n, 0, j}] // Flatten
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Ilya Gutkovskiy, Aug 21 2017
STATUS
approved