OFFSET
-1,8
COMMENTS
The value in row n=-1 is set to 0 by definition.
EXAMPLE
0
0, 0
1, 1, 1
1, 2, 3, 4
2, 5, 10, 17, 26
2, 11, 32, 71, 134, 227
3, 25, 103, 297, 691, 1393, 2535
4, 57, 332, 1243, 3564, 8549, 18052, 34647
6, 130, 1070, 5202, 18382, 52466, 128550, 280930, 561782
9, 297, 3449, 21771, 94809, 321989, 915417, 2277879, 5111081, 10559169
MATHEMATICA
(* define the polynomial*) p[x_] = p[x_] = x/(1 - m*x - x^2 + x^3 - x^5); (* Taylor derivative expansion of the polynomial*) a = Table[ Flatten[{{p[0]}, Table[Coefficient[Series[p[x], {x, 0, 30}], x^n], {n, 1, 10}]}], {m, 1, 10}] (*antidiagonal expansion to give triangular function*) b = Join[{{0}}, Delete[Table[Table[a[[n]][[m]], {n, 1, m + 1}], {m, 0, 9}], 1]] Flatten[b]
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Roger L. Bagula, Apr 14 2006
EXTENSIONS
I partially edited this entry, Jun 13 2006 - N. J. A. Sloane.
Offset set to -1 by Assoc. Eds. of the OEIS, Jun 15 2010
STATUS
approved