OFFSET
0,19
FORMULA
E.g.f. of column k: exp(-Sum_{j=1..k} x^j/j!).
EXAMPLE
Square array begins:
1, 1, 1, 1, 1, 1, ...
0, -1 -1, -1, -1, -1, ...
0, 1, 0, 0, 0, 0, ...
0, -1, 2, 1, 1, 1, ...
0, 1, -2, 2, 1, 1, ...
0, -1, -6, -6, -1, -2, ...
MATHEMATICA
Table[Function[k, n! SeriesCoefficient[Exp[-Sum[x^i/i!, {i, 1, k}]], {x, 0, n}]][j - n], {j, 0, 12}, {n, 0, j}] // Flatten
Table[Function[k, n! SeriesCoefficient[Exp[1 - Exp[x] Gamma[k + 1, x]/Gamma[k + 1]], {x, 0, n}]][j - n], {j, 0, 12}, {n, 0, j}] // Flatten
CROSSREFS
KEYWORD
sign,tabl
AUTHOR
Ilya Gutkovskiy, Nov 20 2017
STATUS
approved