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 A124312 G.f.: (x^3 - x^4)/(1 - x - x^2 - x^3 - x^4 - x^5). 3
 0, 0, 1, 0, 1, 2, 4, 8, 15, 30, 59, 116, 228, 448, 881, 1732, 3405, 6694, 13160, 25872, 50863, 99994, 196583, 386472, 759784, 1493696, 2936529, 5773064, 11349545, 22312618, 43865452, 86237208, 169537887, 333302710, 655255875, 1288199132 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,6 COMMENTS Second column of the n-th power of pentanacci matrix {{1,1,1,1,1},{1,0,0,0,0}, {0,1,0,0,0}, {0,0,1,0,0}, {0,0,0,1,0}} read from bottom to top gives 5 numbers starting from position n. a(n+5) equals the number of n-length binary words avoiding runs of zeros of lengths 5i+4, (i=0,1,2,...). - Milan Janjic, Feb 26 2015 LINKS Robert Israel, Table of n, a(n) for n = 1..3407 Martin Burtscher, Igor Szczyrba, RafaĆ Szczyrba, Analytic Representations of the n-anacci Constants and Generalizations Thereof, Journal of Integer Sequences, Vol. 18 (2015), Article 15.4.5. Index entries for linear recurrences with constant coefficients, signature (1,1,1,1,1). MAPLE f:= gfun:-rectoproc({a(n)+a(n+1)+a(n+2)+a(n+3)+a(n+4)-a(n+5), a(0) = 0, a(1) = 0, a(2) = 0, a(3) = 1, a(4) = 0}, a(n), remember): seq(f(n), n=1..30); # Robert Israel, Apr 13 2017 MATHEMATICA CoefficientList[Series[(x^3 - x^4)/(1 - x - x^2 - x^3 - x^4 - x^5), { x, 0, 50}], x] CROSSREFS Cf. A001591, A124311, A124313, A124314. Sequence in context: A018088 A189101 A018089 * A068030 A251707 A251712 Adjacent sequences:  A124309 A124310 A124311 * A124313 A124314 A124315 KEYWORD nonn,easy AUTHOR Artur Jasinski, Oct 25 2006 EXTENSIONS Edited by N. J. A. Sloane, Oct 29 2006, Jul 14 2007 Name corrected by Robert Israel, Apr 13 2017 STATUS approved

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Last modified December 7 17:41 EST 2019. Contains 329847 sequences. (Running on oeis4.)