OFFSET
0,5
FORMULA
E.g.f. of column k: exp(x)*(sec(x) + tan(x))^k.
EXAMPLE
E.g.f. of column k: A_k(x) = 1 + (k + 1)*x/1! + (k + 1)^2*x^2/2! + (k^3 + 3*k^2 + 4*k + 1)*x^3/3! + (k^4 + 4*k^3 + 10*k^2 + 8*k + 1)*x^4/4! + ...
Square array begins:
1, 1, 1, 1, 1, 1, ...
1, 2, 3, 4, 5, 6, ...
1, 4, 9, 16, 25, 36, ...
1, 9, 29, 67, 129, 221, ...
1, 24, 105, 304, 705, 1416, ...
1, 77, 433, 1519, 4145, 9601, ...
MATHEMATICA
Table[Function[k, n! SeriesCoefficient[Exp[x] (Sec[x] + Tan[x])^k, {x, 0, n}]][j - n], {j, 0, 11}, {n, 0, j}] // Flatten
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Ilya Gutkovskiy, Dec 01 2018
STATUS
approved