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A251707
6-step Fibonacci sequence starting with (0,0,0,1,0,0).
3
0, 0, 0, 1, 0, 0, 1, 2, 4, 8, 15, 30, 60, 119, 236, 468, 928, 1841, 3652, 7244, 14369, 28502, 56536, 112144, 222447, 441242, 875240, 1736111, 3443720, 6830904, 13549664, 26876881, 53312520, 105749800, 209763489, 416083258, 825335612, 1637121560, 3247366239
OFFSET
0,8
FORMULA
a(n+6) = a(n) + a(n+1) + a(n+2) + a(n+3) + a(n+4) + a(n+5).
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
MATHEMATICA
LinearRecurrence[Table[1, {6}], {0, 0, 0, 1, 0, 0}, 40] (* Michael De Vlieger, Dec 09 2014 *)
CROSSREFS
Other 6-step Fibonacci sequences are A001592, A074584, A251706, A251708, A251709.
Sequence in context: A018089 A124312 A068030 * A251712 A251742 A251750
KEYWORD
nonn,easy
AUTHOR
Arie Bos, Dec 07 2014
STATUS
approved