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A251766

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

0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 6, 12, 24, 48, 96, 192, 384, 768, 1535, 3068, 6133, 12260, 24508, 48992, 97936, 195776, 391360, 782336, 1563904, 3126273, 6249478, 12492823, 24973386, 49922264, 99795536, 199493136, 398790496, 797189632, 1593596928

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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*(-1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8)/(-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, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 45] (* Michael De Vlieger, Dec 09 2014 *)

CROSSREFS