A109088 Taylor series of 1/f(x) with recursively defined function f(x) from A109087.

0, 1, -1, -1, 4, -1, -11, 11, 26, -46, -70, 202, 160, -936, 252, 3119, -4379, -3459, 14888, -20536, 29732, 38061, -479128, 960501, 1356685, -8916019, 8540446, 35338281, -110022439, 5461908, 570854415, -1033426187, -1165212555, 7430011628, -6748665176, -27528038218, 81920080445, 10199574479

Offset

0,5

Links

Table of n, a(n) for n=0..37.

Formula

sum(n = 0, infinity)a(n)x^n = 1/f(x).

Example

1/f(x) = x - x^2 - x^3 + 4*x^4 - x^5 - 11*x^6 + 11*x^7 + 26*x^8 - 46*x^9 - 70*x^10 + 202*x^11 + 160*x^12 - 936*x^13 + 252*x^14 + 3119*x^15 + O(x^16)

Prog

(PARI) N=40; f=x; g=1; for(n=1, N, g/=f; f+=g+O(x^N)); Vec(1/f)

Crossrefs

Cf. A109086, A109089, A109090.

Sequence in context: A135552 A181690 A342643 * A060923 A298362 A143952

Adjacent sequences: A109085 A109086 A109087 * A109089 A109090 A109091

Keyword

easy,sign

Author

Nikolaus Meyberg (Nikolaus.Meyberg(AT)t-online.de), Jun 20 2005

Status

approved