A251765 10-step Fibonacci sequence starting with 0,0,1,0,0,0,0,0,0,0.

0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 7, 14, 28, 56, 112, 224, 448, 896, 1791, 3580, 7156, 14305, 28596, 57164, 114272, 228432, 456640, 912832, 1824768, 3647745, 7291910, 14576664, 29139023, 58249450, 116441736, 232769200, 465309968, 930163296, 1859413760

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^2*(-1 +x +x^2 +x^3 +x^4 +x^5 +x^6+ x^7)/(-1+x +x^2 +x^3 +x^4 +x^5 +x^6 +x^7 +x^8 +x^9 +x^10) . - R. J. Mathar, Feb 27 2023

Mathematica

LinearRecurrence[Table[1, {10}], {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 45] (* Michael De Vlieger, Dec 09 2014 *)

Crossrefs

Other 10-step Fibonacci sequences are A251759, A251760, A251761, A251762, A251763, A251764, A251766.

Sequence in context: A251713 A251744 A251751 * A365062 A113405 A119340

Adjacent sequences: A251762 A251763 A251764 * A251766 A251767 A251768

Keyword

nonn,easy

Author

Arie Bos, Dec 07 2014

Status

approved