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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A123526 Octanacci numbers. 10
1, 1, 1, 1, 1, 1, 1, 1, 8, 15, 29, 57, 113, 225, 449, 897, 1793, 3578, 7141, 14253, 28449, 56785, 113345, 226241, 451585, 901377, 1799176, 3591211, 7168169, 14307889, 28558993, 57004641, 113783041, 227114497, 453327617, 904856058, 1806120905 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,9

LINKS

Robert Price, Table of n, a(n) for n = 1..1000

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

FORMULA

a(n)=1 for 1 <= n <= 8, a(n) = a(n-1) + a(n-2) +...+ a(n-8) for n > 8.

G.f.: x*(6*x^7+5*x^6+4*x^5+3*x^4+2*x^3+x^2-1) / (x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1). - Colin Barker, Oct 19 2015

MATHEMATICA

Module[{nn=8, lr}, lr=PadRight[{}, nn, 1]; LinearRecurrence[lr, lr, 20]] (* Harvey P. Dale, Feb 04 2015 *)

PROG

(PARI) Vec(x*(6*x^7+5*x^6+4*x^5+3*x^4+2*x^3+x^2-1) / (x^8+x^7+x^6+x^5+x^4+x^3+x^2+x-1) + O(x^50)) \\ Colin Barker, Oct 19 2015

CROSSREFS

Cf. A000045, A000213, A000288, A000322, A000383, A060455, A079262.

Cf. A254412, A254413.  Indices of primes and primes in this sequence.

Sequence in context: A240522 A132298 A188558 * A083686 A293360 A287644

Adjacent sequences:  A123523 A123524 A123525 * A123527 A123528 A123529

KEYWORD

easy,nonn

AUTHOR

Danny Rorabaugh, Nov 10 2006

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 22 00:52 EDT 2019. Contains 328315 sequences. (Running on oeis4.)