login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A037157 Convolution of natural numbers n >= 1 with Fibonacci numbers F(k), for k >= 6. 2
8, 29, 71, 147, 278, 498, 862, 1459, 2433, 4017, 6588, 10756, 17508, 28441, 46139, 74783, 121138, 196150, 317530, 513935, 831733, 1345949, 2177976, 3524232, 5702528, 9227093, 14929967, 24157419, 39087758, 63245562, 102333718 (list; graph; refs; listen; history; text; internal format)
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+10) - (47+13*n).

G.f.: (8+5*x)/((1-x-x^2)*(1-x)^2).

MATHEMATICA

Table[Fibonacci[n+10] -13*n-47, {n, 0, 40}] (* G. C. Greubel, Jul 05 2019 *)

PROG

(PARI) vector(40, n, n--; fibonacci(n+10) -13*n-47) \\ G. C. Greubel, Jul 05 2019

(MAGMA) [Fibonacci(n+10) -13*n-47: n in [0..40]]; // G. C. Greubel, Jul 05 2019

(Sage) [fibonacci(n+10) -13*n-47 for n in (0..40)] # G. C. Greubel, Jul 05 2019

(GAP) List([0..40], n-> Fibonacci(n+10) -13*n-47) # G. C. Greubel, Jul 05 2019

CROSSREFS

Cf. A000045, A037140.

Sequence in context: A320695 A093809 A244244 * A288115 A100178 A106113

Adjacent sequences:  A037154 A037155 A037156 * A037158 A037159 A037160

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 17 06:08 EDT 2019. Contains 328106 sequences. (Running on oeis4.)