A251763 10-step Fibonacci sequence starting with 0,0,0,0,1,0,0,0,0,0.

0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 4, 8, 16, 31, 62, 124, 248, 496, 992, 1983, 3964, 7924, 15840, 31664, 63297, 126532, 252940, 505632, 1010768, 2020544, 4039105, 8074246, 16140568, 32265296, 64498928, 128934559, 257742586, 515232232, 1029958832, 2058906896

Offset: 0

Author

Arie Bos, Dec 07 2014

Keywords

• nonn
• easy

Links

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

Crossrefs

Other 10-step Fibonacci sequences are A251759, A251760, A251761, A251762, A251764, A251765, A251766.

Programs

Mathematica

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

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^4*(-1+x+x^2+x^3+x^4+x^5)/(-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