A251712 - OEIS

%I #19 Dec 18 2023 12:12:21

%S 0,0,0,1,0,0,0,1,2,4,8,15,30,60,120,239,476,948,1888,3761,7492,14924,

%T 29728,59217,117958,234968,468048,932335,1857178,3699432,7369136,

%U 14679055,29240152,58245336,116022624,231112913,460368648,917037864,1826706592,3638734129

%N 7-step Fibonacci sequence starting with (0,0,0,1,0,0,0).

%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (1,1,1,1,1,1,1).

%F a(n+7) = a(n) + a(n+1) + a(n+2) + a(n+3) + a(n+4) + a(n+5) + a(n+6).

%t LinearRecurrence[Table[1, {7}], {0, 0, 0, 1, 0, 0, 0}, 40] (* _Michael De Vlieger_, Dec 09 2014 *)

%o (J) NB. see A251713 for the program and apply it to 0 0 0 1 0 0 0.

%Y Other 7-step Fibonacci sequences are A066178, A104621, A122189, A251710, A251711, A251713, A251714.

%K nonn,easy

%O 0,9

%A _Arie Bos_, Dec 07 2014