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A251761

10-step Fibonacci sequence starting with 0,0,0,0,0,0,1,0,0,0.

0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 4, 8, 16, 32, 64, 127, 254, 508, 1016, 2031, 4060, 8116, 16224, 32432, 64832, 129600, 259073, 517892, 1035276, 2069536, 4137041, 8270022, 16531928, 33047632, 66062832, 132060832, 263992064, 527725055, 1054932218, 2108829160

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OFFSET

0,12

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).

G.f.: x^6*(-1+x+x^2+x^3)/(-1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9+x^10) . - R. J. Mathar, Mar 28 2025

MATHEMATICA

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

CROSSREFS