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URL: https://oeis.org/A251672

⇱ A251672 - OEIS

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A251672
8-step Fibonacci sequence starting with 0,0,0,0,0,0,1,0.
8
0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 4, 8, 16, 32, 64, 127, 254, 507, 1012, 2020, 4032, 8048, 16064, 32064, 64001, 127748, 254989, 508966, 1015912, 2027792, 4047536, 8079008, 16125952, 32187903, 64248058, 128241127, 255973288, 510930664, 1019833536, 2035619536
OFFSET
0,10
COMMENTS
a(n+8) equals the number of n-length binary words avoiding runs of 0's of lengths 8i+7, (i=0,1,2,...). - Milan Janjic, Feb 26 2015
FORMULA
a(n+8) = a(n) +a(n+1) +a(n+2) +a(n+3) +a(n+4) +a(n+5) +a(n+6) +a(n+7).
G.f.: x^6*(x-1)/(-1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8) . - R. J. Mathar, Mar 28 2025
a(n) = A079262(n+1)-A079262(n). - R. J. Mathar, Mar 28 2025
MATHEMATICA
LinearRecurrence[Table[1, {8}], {0, 0, 0, 0, 0, 0, 1, 0}, 43] (* Michael De Vlieger, Dec 09 2014 *)
CROSSREFS
Other 8-step Fibonacci sequences are A079262, A105754, A251740, A251741, A251742, A251744, A251745.
Sequence in context: A066178 A122189 A194630 * A251747 A251761 A133024
KEYWORD
nonn,easy
AUTHOR
Arie Bos, Dec 06 2014
STATUS
approved