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

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A049657 a(n) = (F(8*n+3) - 2)/3, where F=A000045 (the Fibonacci sequence). 1
0, 29, 1393, 65472, 3075821, 144498145, 6788337024, 318907342013, 14981856737617, 703828359326016, 33064951031585165, 1553348870125176769, 72974331944851723008, 3428240252537905804637, 161054317537336721094961 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..595

Index entries for linear recurrences with constant coefficients, signature (48,-48,1).

FORMULA

G.f.: -x*(29+x) / ( (x-1)*(x^2-47*x+1) ).

MATHEMATICA

LinearRecurrence[{48, -48, 1}, {0, 29, 1393}, 50] (* or *) Table[( Fibonacci[8*n+3] - 2)/3, {n, 0, 30}] (* G. C. Greubel, Dec 02 2017 *)

PROG

(PARI) for(n=0, 30, print1((fibonacci(8*n+3) - 2)/3, ", ")) \\ G. C. Greubel, Dec 02 2017

(MAGMA) [(Fibonacci(8*n+3) - 2)/3: n in [0..30]]; // G. C. Greubel, Dec 02 2017

CROSSREFS

Sequence in context: A139192 A290022 A191968 * A091994 A126555 A028478

Adjacent sequences:  A049654 A049655 A049656 * A049658 A049659 A049660

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling

EXTENSIONS

Description corrected by and more terms from Michael Somos

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 December 12 10:19 EST 2019. Contains 329953 sequences. (Running on oeis4.)