OFFSET
1,2
LINKS
Lars Blomberg, Table of n, a(n) for n = 1..1000
G. Bell, A. Lawson, N. Pritchard, and D. Yasaki, Locally infinite Cayley graphs of the integers, arXiv:1711.00809 [math.GT], 2017.
Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,13,-13).
FORMULA
Conjectures from Colin Barker, Dec 28 2017: (Start)
G.f.: x*(1 + x + x^2 + x^3 + x^4 + x^5 - 12*x^6) / ((1 - x)*(1 - 13*x^6)).
a(n) = a(n-1) + 13*a(n-6) - 13*a(n-7) for n>7.
(End)
The second conjecture by Colin Barker is true up to n=1000. - Lars Blomberg, Dec 29 2017
MATHEMATICA
LinearRecurrence[{1, 0, 0, 0, 0, 13, -13}, {1, 2, 3, 4, 5, 6, 7}, 50] (* Harvey P. Dale, May 31 2023 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Dec 28 2017
EXTENSIONS
Terms a(21) and beyond from Lars Blomberg, Dec 29 2017
STATUS
approved