A251709 - OEIS

%I #14 Feb 27 2023 08:40:39

%S 0,1,0,0,0,0,1,2,3,6,12,24,48,95,188,373,740,1468,2912,5776,11457,

%T 22726,45079,89418,177368,351824,697872,1384287,2745848,5446617,

%U 10803816,21430264,42508704,84319536,167254785,331763722,658080827,1305357838,2589285412

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

%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (1,1,1,1,1,1)

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

%F G.f.: x*(-1+x+x^2+x^3+x^4)/(-1+x+x^2+x^3+x^4+x^5+x^6) . - _R. J. Mathar_, Feb 27 2023

%t LinearRecurrence[Table[1, {6}], {0, 1, 0, 0, 0, 0}, 40] (* _Michael De Vlieger_, Dec 09 2014 *)

%Y Other 6-step Fibonacci sequences are A001592, A074584, A251706, A251707, A251708.

%K nonn,easy

%O 0,8

%A _Arie Bos_, Dec 07 2014