A251709 6-step Fibonacci sequence starting with (0,1,0,0,0,0).

0, 1, 0, 0, 0, 0, 1, 2, 3, 6, 12, 24, 48, 95, 188, 373, 740, 1468, 2912, 5776, 11457, 22726, 45079, 89418, 177368, 351824, 697872, 1384287, 2745848, 5446617, 10803816, 21430264, 42508704, 84319536, 167254785, 331763722, 658080827, 1305357838, 2589285412

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*(-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

Mathematica

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

Crossrefs

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

Sequence in context: A351915 A262236 A246878 * A293340 A251714 A251745

Adjacent sequences: A251706 A251707 A251708 * A251710 A251711 A251712

Keyword

nonn,easy

Author

Arie Bos, Dec 07 2014

Status

approved