A122501 Expansion of -x*(47*x^3+25*x^2+5*x+1)/(38*x^4+54*x^3+22*x^2-1).

1, 5, 47, 211, 1342, 7370, 42704, 242626, 1388464, 7923848, 45270764, 258521500, 1476606232, 8433200480, 48165787136, 275090964088, 1571151179728, 8973415333520, 51250537925936, 292710757678096, 1671780007210336

Offset

1,2

References

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

Links

Table of n, a(n) for n=1..21.

Index entries for linear recurrences with constant coefficients, signature (0,22,54,38).

Formula

G.f.: -x*(47*x^3+25*x^2+5*x+1)/(38*x^4+54*x^3+22*x^2-1). - Colin Barker, Nov 02 2012

Mathematica

M = {{0, 1, 1, 2}, {2, 0, 2, 1}, {3, 3, 0, 1}, {3, 3, 2, 0}}; v[1] = {1, 2, 3, 0}; v[n_] := v[n] = M.v[n - 1] a1 = Table[v[n][[1]], {n, 1, 50}]
LinearRecurrence[{0, 22, 54, 38}, {1, 5, 47, 211}, 30] (* Harvey P. Dale, Oct 27 2015 *)

Crossrefs

Sequence in context: A277607 A139889 A134327 * A362430 A352303 A344121

Adjacent sequences: A122498 A122499 A122500 * A122502 A122503 A122504

Keyword

nonn,less,easy

Author

Roger L. Bagula, Sep 15 2006

Extensions

New name (using g.f. by Colin Barker), Joerg Arndt, Mar 30 2014

Status

approved