

A227139


Chebyshev Spolynomial evaluated at x = 48.


0



1, 48, 2303, 110496, 5301505, 254361744, 12204062207, 585540624192, 28093745899009, 1347914262528240, 64671790855456511, 3102898046799384288, 148874434455514989313, 7142869955817920102736, 342708883444804649942015
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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

Table of n, a(n) for n=0..14.
Index entries for sequences related to Chebyshev polynomials.
Index entries for linear recurrences with constant coefficients, signature (48,1).


FORMULA

a(n) = S(n, 48), with the Chebyshev Spolynomial, with coefficients given in A049310.
a(n) = 48*a(n1)  a(n2), 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



