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A022388 Fibonacci sequence beginning 6, 13. 4
6, 13, 19, 32, 51, 83, 134, 217, 351, 568, 919, 1487, 2406, 3893, 6299, 10192, 16491, 26683, 43174, 69857, 113031, 182888, 295919, 478807, 774726, 1253533, 2028259, 3281792, 5310051, 8591843, 13901894, 22493737, 36395631, 58889368, 95284999, 154174367, 249459366, 403633733, 653093099 (list; graph; refs; listen; history; text; internal format)
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.: (6+7*x)/(1-x-x^2). - Philippe Deléham, Nov 20 2008

a(n) = 6*Fibonacci(n+2) + Fibonacci(n) = 6*Fibonacci(n-1) + 13*Fibonacci(n). - G. C. Greubel, Mar 02 2018

MATHEMATICA

Table[6*Fibonacci[n+2] + Fibonacci[n], {n, 0, 50}] (* or *) LinearRecurrence[{1, 1}, {6, 13}, 50] (* G. C. Greubel, Mar 02 2018 *)

PROG

(PARI) for(n=0, 50, print1(6*fibonacci(n+2) + fibonacci(n), ", ")) \\ G. C. Greubel, Mar 02 2018

(MAGMA) [6*Fibonacci(n+2) + Fibonacci(n): n in [0..50]]; // G. C. Greubel, Mar 02 2018

CROSSREFS

Cf. A000032.

Sequence in context: A246306 A135274 A189378 * A041471 A041695 A109236

Adjacent sequences:  A022385 A022386 A022387 * A022389 A022390 A022391

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

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

STATUS

approved

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Last modified May 20 17:45 EDT 2018. Contains 304340 sequences. (Running on oeis4.)