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A164600 a(n) = 18*a(n - 1) - 79*a(n - 2) for n > 1; a(0) = 1, a(1) = 17. 2
1, 17, 227, 2743, 31441, 349241, 3802499, 40854943, 434991553, 4602307457, 48477201539, 509007338599, 5332433173201, 55772217368297, 582637691946467, 6081473282940943, 63438141429166081, 661450156372654961 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Binomial transform of A081185 without initial term 0. Ninth binomial transform of A164587.

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..975 (terms 0..100 from Vincenzo Librandi)

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

FORMULA

a(n) = ((1+4*sqrt(2))*(9+sqrt(2))^n + (1-4*sqrt(2))*(9-sqrt(2))^n)/2.

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

E.g.f.: exp(9*x)*(cosh(sqrt(2)*x) + 4*sqrt(2)*sinh(sqrt(2)*x)). - G. C. Greubel, Aug 11 2017

MATHEMATICA

LinearRecurrence[{18, -79}, {1, 17}, 30] (* Harvey P. Dale, Oct 30 2013 *)

PROG

(MAGMA) [ n le 2 select 16*n-15 else 18*Self(n-1)-79*Self(n-2): n in [1..18] ];

(PARI) x='x+O('x^50); Vec((1-x)/(1-18*x+79*x^2)) \\ G. C. Greubel, Aug 11 2017

CROSSREFS

Cf. A081185, A164587.

Sequence in context: A140842 A087608 A078946 * A187636 A152588 A152589

Adjacent sequences:  A164597 A164598 A164599 * A164601 A164602 A164603

KEYWORD

nonn

AUTHOR

Klaus Brockhaus, Aug 17 2009

STATUS

approved

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Last modified September 20 22:20 EDT 2019. Contains 327252 sequences. (Running on oeis4.)