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 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

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