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%I #14 Feb 27 2023 08:41:22
%S 0,0,0,1,0,0,1,2,4,8,15,30,60,119,236,468,928,1841,3652,7244,14369,
%T 28502,56536,112144,222447,441242,875240,1736111,3443720,6830904,
%U 13549664,26876881,53312520,105749800,209763489,416083258,825335612,1637121560,3247366239
%N 6-step Fibonacci sequence starting with (0,0,0,1,0,0).
%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^3*(-1+x+x^2)/(-1+x+x^2+x^3+x^4+x^5+x^6) . - _R. J. Mathar_, Feb 27 2023
%t LinearRecurrence[Table[1, {6}], {0, 0, 0, 1, 0, 0}, 40] (* _Michael De Vlieger_, Dec 09 2014 *)
%Y Other 6-step Fibonacci sequences are A001592, A074584, A251706, A251708, A251709.
%K nonn,easy
%O 0,8
%A _Arie Bos_, Dec 07 2014
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