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A122058 Expansion of x*(6*x^3+6*x^2+4*x+1) / ((x-1)*(12*x^3+11*x^2-1)). 0
1, 5, 22, 84, 319, 1205, 4534, 17100, 64351, 242525, 913078, 3440004, 12954175, 48796997, 183775990, 692217084, 2607099871, 9819699821, 36984703606, 139301896500, 524668137535, 1976137304789, 7442972270902, 28033528003116 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

R. G. Newton, Scattering Theory of Waves and Particles, McGraw Hill, New York, 1966, Page 557 ff

LINKS

Table of n, a(n) for n=1..24.

FORMULA

G.f.: x*(6*x^3+6*x^2+4*x+1)/((x-1)*(12*x^3+11*x^2-1)). [Colin Barker, Oct 19 2012]

MATHEMATICA

M = {{0, 1, 1}, {2, 0, 2}, {3, 3, 0}}; v[1] = {1, 2, 3}; v[n_] := v[n] = M.v[n - 1] + {0, 2, 3} a1 = Table[v[n][[1]], {n, 1, 50}]

CoefficientList[Series[(6*x^3 + 6*x^2 + 4*x + 1)/((x - 1)*(12*x^3 + 11*x^2 - 1)), {x, 0, 30}], x] (* Wesley Ivan Hurt, Jan 30 2017 *)

CROSSREFS

Sequence in context: A183925 A296583 A216041 * A191008 A006148 A262293

Adjacent sequences:  A122055 A122056 A122057 * A122059 A122060 A122061

KEYWORD

nonn

AUTHOR

Roger L. Bagula, Sep 14 2006

EXTENSIONS

Sequence edited by Joerg Arndt, Colin Barker, Bruno Berselli, Oct 19 2012

STATUS

approved

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Last modified April 25 23:48 EDT 2019. Contains 322465 sequences. (Running on oeis4.)