A033960 Convolution of natural numbers n >= 1 with Fibonacci numbers F(k), k >= 4.

3, 11, 27, 56, 106, 190, 329, 557, 929, 1534, 2516, 4108, 6687, 10863, 17623, 28564, 46270, 74922, 121285, 196305, 317693, 514106, 831912, 1346136, 2178171, 3524435, 5702739, 9227312, 14930194, 24157654, 39088001

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (3,-2,-1,1).

Formula

a(n) = Fibonacci(n+8) - (18+5*n).

G.F.: (3+2*x)/((1-x-x^2)*(1-x)^2).

Mathematica

Table[Fibonacci[n+8] -5*n-18, {n, 0, 40}] (* G. C. Greubel, Jul 05 2019 *)

Prog

(PARI) vector(40, n, n--; fibonacci(n+8) -5*n-18) \\ G. C. Greubel, Jul 05 2019
(Magma) [Fibonacci(n+8) -5*n-18: n in [0..40]]; // G. C. Greubel, Jul 05 2019
(Sage) [fibonacci(n+8) -5*n-18 for n in (0..40)] # G. C. Greubel, Jul 05 2019
(GAP) List([0..40], n-> Fibonacci(n+8) -5*n-18) # G. C. Greubel, Jul 05 2019

Crossrefs

Cf. A000045, A001924, A001891, A033937.

Sequence in context: A024194 A011941 A219621 * A147173 A147110 A147118

Adjacent sequences: A033957 A033958 A033959 * A033961 A033962 A033963

Keyword

easy,nonn

Author

Wolfdieter Lang

Status

approved