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 A122502 Expansion of x/(1 - 22 x^2 - 54 x^3 - 38 x^4). 0
 0, 1, 0, 22, 54, 522, 2376, 15236, 82512, 483332, 2728296, 15667920, 89257896, 510388840, 2913416640, 16643861824, 95047963488, 542884234608, 3100533567552, 17708509939040, 101139309767520, 577645632221792 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 REFERENCES R. G. Newton, Scattering Theory of Waves and Particles, McGraw Hill, New York, 1966, pp. 557ff. LINKS 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) [From Harvey P. Dale, Aug 12 2011] MATHEMATICA f[x_] = -38 - 54 x - 22 x^2 + x^4 ExpandAll[x^4*f[1/x]] 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: A101571 A290381 A324486 * A244212 A303582 A289015 Adjacent sequences:  A122499 A122500 A122501 * A122503 A122504 A122505 KEYWORD nonn AUTHOR Roger L. Bagula, Sep 15 2006 EXTENSIONS Edited by N. J. A. Sloane, Serp 17 2006 STATUS approved

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Last modified June 2 11:35 EDT 2020. Contains 334771 sequences. (Running on oeis4.)