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 A227139 Chebyshev S-polynomial evaluated at x = 48. 0
 1, 48, 2303, 110496, 5301505, 254361744, 12204062207, 585540624192, 28093745899009, 1347914262528240, 64671790855456511, 3102898046799384288, 148874434455514989313, 7142869955817920102736, 342708883444804649942015 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS This sequence, with a(-1) = 0, appears in the solution of the Pell equation u^2 - 23*v^2 = +1 for the solutions v = 5*a(n), n >= -1, together with u = A114051(n+1). LINKS Index entries for linear recurrences with constant coefficients, signature (48,-1). FORMULA a(n) = S(n, 48), with the Chebyshev S-polynomial, with coefficients given in A049310. a(n) = 48*a(n-1) - a(n-2), n >= 1, a(-1) = 0, a(0) = 1. O.g.f.: 1/(1 - 48*x + x^2). a(n) = A174767(n+2)/5, n >= 0. MATHEMATICA LinearRecurrence[{48, -1}, {1, 48}, 20] (* Harvey P. Dale, Aug 26 2013 *) CROSSREFS Cf. A049310, A114051, A174767. Sequence in context: A218750 A263504 A158783 * A009992 A042105 A206046 Adjacent sequences:  A227136 A227137 A227138 * A227140 A227141 A227142 KEYWORD nonn,easy AUTHOR Wolfdieter Lang, Jul 02 2013 STATUS approved

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Last modified May 20 20:16 EDT 2019. Contains 323426 sequences. (Running on oeis4.)