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A163447 a(n) = 18*a(n-1) - 79*a(n-2) for n > 1; a(0) = 1, a(1) = 11. 3
1, 11, 119, 1273, 13513, 142667, 1500479, 15737929, 164744881, 1722111467, 17983160807, 187650088633, 1957031891641, 20402217047531, 212634387415919, 2215643826731593, 23083472275311073, 240466638643803467 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Binomial transform of A163446. Inverse binomial transform of A163448.

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..975

Index entries for linear recurrences with constant coefficients, signature (18,-79).

FORMULA

a(n) = ((1+sqrt(2))*(9+sqrt(2))^n + (1-sqrt(2))*(9-sqrt(2))^n)/2.

G.f.: (1-7*x)/(1-18*x+79*x^2).

E.g.f.: exp(9*x)*( cosh(sqrt(2)*x) + sqrt(2)*sinh(sqrt(2)*x) ). - G. C. Greubel, Dec 23 2016

MATHEMATICA

LinearRecurrence[{18, -79}, {1, 11}, 50] (* G. C. Greubel, Dec 23 2016 *)

PROG

(MAGMA) [ n le 2 select 10*n-9 else 18*Self(n-1)-79*Self(n-2): n in [1..18] ];

(PARI) Vec((1-7*x)/(1-18*x+79*x^2) + O(x^50)) \\ G. C. Greubel, Dec 23 2016

CROSSREFS

Cf. A163446, A163448.

Sequence in context: A240392 A044724 A125468 * A254600 A060499 A164828

Adjacent sequences:  A163444 A163445 A163446 * A163448 A163449 A163450

KEYWORD

nonn

AUTHOR

Klaus Brockhaus, Jul 27 2009

STATUS

approved

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Last modified October 15 21:38 EDT 2021. Contains 348034 sequences. (Running on oeis4.)