A251708 6-step Fibonacci sequence starting with (0,0,1,0,0,0).

0, 0, 1, 0, 0, 0, 1, 2, 4, 7, 14, 28, 56, 111, 220, 436, 865, 1716, 3404, 6752, 13393, 26566, 52696, 104527, 207338, 411272, 815792, 1618191, 3209816, 6366936, 12629345, 25051352, 49691432, 98567072, 195515953, 387822090, 769277244, 1525925143, 3026798934

Offset

0,8

Links

Table of n, a(n) for n=0..38.

Index entries for linear recurrences with constant coefficients, signature (1,1,1,1,1,1).

Formula

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

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

Mathematica

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

Crossrefs

Other 6-step Fibonacci sequences are A001592, A074584, A251706, A251707, A251709.

Sequence in context: A358837 A251653 A057744 * A293325 A251713 A251744

Adjacent sequences: A251705 A251706 A251707 * A251709 A251710 A251711

Keyword

nonn,easy

Author

Arie Bos, Dec 07 2014

Status

approved