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A117744 Triangle read by rows: coefficient of x^n in the power series of x/(1 - m*x - x^2 + x^3 - x^5) in row n, column m=1..n+2. 0
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
-1,8
COMMENTS
The value in row n=-1 is set to 0 by definition.
LINKS
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
Cf. A107293 (column m=1).
Sequence in context: A322990 A120636 A209747 * A366481 A361697 A091732
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

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Last modified June 14 04:14 EDT 2024. Contains 373393 sequences. (Running on oeis4.)