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7-step Fibonacci sequence starting with (0,1,0,0,0,0,0).
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%I #17 Dec 18 2023 12:12:17

%S 0,1,0,0,0,0,0,1,2,3,6,12,24,48,96,191,380,757,1508,3004,5984,11920,

%T 23744,47297,94214,187671,373834,744664,1483344,2954768,5885792,

%U 11724287,23354360,46521049,92668264,184591864,367700384,732446000,1459006208,2906288129

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

%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, 1, 0, 0, 0, 0, 0}, 40] (* _Michael De Vlieger_, Dec 09 2014 *)

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

%Y Other 7-step Fibonacci sequences are A066178, A104621, A122189, A251710, A251711, A251712, A251713.

%K nonn,easy

%O 0,9

%A _Arie Bos_, Dec 07 2014