A022390 - OEIS

A022390

Fibonacci sequence beginning 8, 17.

8, 17, 25, 42, 67, 109, 176, 285, 461, 746, 1207, 1953, 3160, 5113, 8273, 13386, 21659, 35045, 56704, 91749, 148453, 240202, 388655, 628857, 1017512, 1646369, 2663881, 4310250, 6974131, 11284381, 18258512, 29542893, 47801405, 77344298, 125145703, 202490001, 327635704, 530125705, 857761409, 1387887114, 2245648523, 3633535637, 5879184160

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OFFSET

0,1

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

Tanya Khovanova, Recursive Sequences

Index entries for linear recurrences with constant coefficients, signature (1, 1).

FORMULA

G.f.: (8+9*x)/(1-x-x^2). - Philippe Deléham, Nov 20 2008

a(n) = 8*Fibonacci(n+2) + Fibonacci(n). - Michel Marcus, Mar 03 2018

MAPLE

with(combinat, fibonacci): seq(8*fibonacci(n+2)+fibonacci(n), n=0..35); # Muniru A Asiru, Mar 03 2018

MATHEMATICA

Table[8*Fibonacci[n + 2] + Fibonacci[n], {n, 0, 50}] (* or *) LinearRecurrence[{1, 1}, {8, 17}, 50] (* G. C. Greubel, Mar 02 2018 *)

PROG

(PARI) for(n=0, 50, print1(8*fibonacci(n+2) + fibonacci(n), ", ")) \\ G. C. Greubel, Mar 02 2018

(Magma) [8*Fibonacci(n+2) + Fibonacci(n): n in [0..50]]; // G. C. Greubel, Mar 02 2018

(GAP) List([0..35], n->8*Fibonacci(n+2)+Fibonacci(n)); # Muniru A Asiru, Mar 03 2018

CROSSREFS

Cf. A000032.

Sequence in context: A044060 A121283 A046464 * A041831 A041122 A042211

Adjacent sequences: A022387 A022388 A022389 * A022391 A022392 A022393

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

Terms a(36) onward added by G. C. Greubel, Mar 02 2018

STATUS

approved