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A251759 10-step Fibonacci sequence starting with 0,0,0,0,0,0,0,0,1,0. 7
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 4, 8, 16, 32, 64, 128, 256, 511, 1022, 2043, 4084, 8164, 16320, 32624, 65216, 130368, 260608, 520960, 1041409, 2081796, 4161549, 8319014, 16629864, 33243408, 66454192, 132843168, 265555968, 530851328, 1061181696, 2121321983 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,12

COMMENTS

a(n+10) equals the number of n-length binary words avoiding runs of zeros of lengths 10i+9, (i=0,1,2,...). - Milan Janjic, Feb 26 2015

LINKS

Table of n, a(n) for n=0..41.

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

FORMULA

a(n+10) = a(n)+a(n+1)+a(n+2)+a(n+3) +a(n+4)+a(n+5)+a(n+6)+a(n+7) +a(n+8) +a(n+9).

MATHEMATICA

LinearRecurrence[Table[1, {10}], {0, 0, 0, 0, 0, 0, 0, 0, 1, 0}, 45] (* Michael De Vlieger, Dec 08 2014 *)

CROSSREFS

Other 10-step Fibonacci sequences are A251760, A251761, A251762, A251763, A251764, A251765, A251766.

Sequence in context: A258800 A194632 A282584 * A243087 A123464 A113019

Adjacent sequences:  A251756 A251757 A251758 * A251760 A251761 A251762

KEYWORD

nonn,easy

AUTHOR

Arie Bos, Dec 07 2014

STATUS

approved

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Last modified June 25 03:59 EDT 2022. Contains 354835 sequences. (Running on oeis4.)