A251762 10-step Fibonacci sequence starting with 0,0,0,0,0,1,0,0,0,0.

0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 4, 8, 16, 32, 63, 126, 252, 504, 1008, 2015, 4028, 8052, 16096, 32176, 64320, 128577, 257028, 513804, 1027104, 2053200, 4104385, 8204742, 16401432, 32786768, 65541360, 131018400, 261908223, 523559418, 1046605032, 2092182960

Offset: 0

Author

Arie Bos, Dec 07 2014

Keywords

• nonn
• easy

Links

• Colin Barker, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (1,1,1,1,1,1,1,1,1,1).

Crossrefs

Other 10-step Fibonacci sequences are A251759, A251760, A251761, A251763, A251764, A251765, A251766.

Programs

Mathematica

LinearRecurrence[Table[1, {10}], {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 45] (* Michael De Vlieger, Dec 09 2014 *)

PARI

concat(vector(5), Vec(x^5*(1 - x - x^2 - x^3 - x^4) / (1 - x - x^2 - x^3 - x^4 - x^5 - x^6 - x^7 - x^8 - x^9 - x^10) + O(x^50))) \\ Colin Barker, Apr 24 2017

Formula

a(n+10) = a(n) + a(n+1) + a(n+2) + a(n+3) + a(n+4) + a(n+5) + a(n+6) + a(n+7) + a(n+8) + a(n+9).

G.f.: x^5*(1 - x - x^2 - x^3 - x^4) / (1 - x - x^2 - x^3 - x^4 - x^5 - x^6 - x^7 - x^8 - x^9 - x^10). - Colin Barker, Apr 24 2017