A122502 Expansion of x/(1 - 22*x^2 - 54*x^3 - 38*x^4).

0, 1, 0, 22, 54, 522, 2376, 15236, 82512, 483332, 2728296, 15667920, 89257896, 510388840, 2913416640, 16643861824, 95047963488, 542884234608, 3100533567552, 17708509939040, 101139309767520, 577645632221792

Offset

0,4

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=0..21.

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

Formula

a(0)=0, a(1)=1, a(2)=0, a(3)=22, a(n)=22*a(n-2)+54*a(n-3)+38*a(n-4). - Harvey P. Dale, Aug 12 2011

Mathematica

a=Table[ SeriesCoefficient[ Series[x/(1-22 x^2-54 x^3-38 x^4), {x, 0, 50}], n], {n, 0, 50}]
CoefficientList[Series[x/(1-22 x^2-54 x^3-38 x^4), {x, 0, 30}], x] (* or *) LinearRecurrence[{0, 22, 54, 38}, {0, 1, 0, 22}, 31] (* Harvey P. Dale, Aug 12 2011 *)

Crossrefs

Sequence in context: A290381 A324486 A351170 * A244212 A303582 A289015

Adjacent sequences: A122499 A122500 A122501 * A122503 A122504 A122505

Keyword

nonn,easy

Author

Roger L. Bagula, Sep 15 2006

Extensions

Edited by N. J. A. Sloane, Sep 17 2006

Offset corrected by Jason Yuen, Aug 03 2025

Status

approved