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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 Table of n, a(n) for n=-1..50. 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 Adjacent sequences: A117741 A117742 A117743 * A117745 A117746 A117747 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.)