A251707 6-step Fibonacci sequence starting with (0,0,0,1,0,0).

0, 0, 0, 1, 0, 0, 1, 2, 4, 8, 15, 30, 60, 119, 236, 468, 928, 1841, 3652, 7244, 14369, 28502, 56536, 112144, 222447, 441242, 875240, 1736111, 3443720, 6830904, 13549664, 26876881, 53312520, 105749800, 209763489, 416083258, 825335612, 1637121560, 3247366239

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)

Crossrefs

Other 6-step Fibonacci sequences are A001592, A074584, A251706, A251708, A251709.

Programs

Mathematica

LinearRecurrence[Table[1, {6}], {0, 0, 0, 1, 0, 0}, 40] (* Michael De Vlieger, Dec 09 2014 *)

Formula

a(n+6) = a(n) + a(n+1) + a(n+2) + a(n+3) + a(n+4) + a(n+5).

G.f.: x^3*(-1+x+x^2)/(-1+x+x^2+x^3+x^4+x^5+x^6) . - R. J. Mathar, Feb 27 2023