OFFSET
1,3
LINKS
Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,1,-1).
FORMULA
From Chai Wah Wu, Jun 10 2016: (Start)
a(n) = a(n-1) + a(n-5) - a(n-6) for n > 6.
G.f.: x^2*(x^4 + x^3 + x^2 + 4*x + 1)/(x^6 - x^5 - x + 1). (End)
From Wesley Ivan Hurt, Jul 27 2016: (Start)
a(n) = a(n-5) + 8 for n>5.
a(n) = (40*n - 25 + 3*(n mod 5) + 3*((n+1) mod 5) - 12*((n+2) mod 5) + 3*((n+3) mod 5) + 3*((n+4) mod 5))/25.
a(5*k) = 8*k-1, a(5*k-1) = 8*k-2, a(5*k-2) = 8*k-3, a(5*k-3) = 8*k-7, a(5*k-4) = 8*k-8. (End)
MAPLE
A047577:=n->8*floor(n/5)+[0, 1, 5, 6, 7][(n mod 5)+1]: seq(A047577(n), n=0..100); # Wesley Ivan Hurt, Jul 27 2016
MATHEMATICA
Select[Range[0, 100], MemberQ[{0, 1, 5, 6, 7}, Mod[#, 8]] &] (* Wesley Ivan Hurt, Jul 27 2016 *)
PROG
(Magma) [n : n in [0..150] | n mod 8 in [0, 1, 5, 6, 7]]; // Wesley Ivan Hurt, Jul 27 2016
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved