OFFSET
1,2
COMMENTS
Periodic with period 10.
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,1).
FORMULA
a(n) = a(n-10). - Colin Barker, Dec 04 2014
G.f.: -x*(9*x^9+7*x^8+x^7+3*x^6+x^5+x^4+3*x^3+x^2+7*x+1) / ((x-1)*(x+1)*(x^4-x^3+x^2-x+1)*(x^4+x^3+x^2+x+1)). - Colin Barker, Dec 04 2014
MATHEMATICA
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 7, 1, 3, 1, 1, 3, 1, 7, 9}, 105] (* Ray Chandler, Aug 26 2015 *)
Abs[Differences[Mod[#, 10]]]&/@Partition[Range[0, 120]^3, 2, 1]//Flatten (* or *) PadRight[{}, 120, {1, 7, 1, 3, 1, 1, 3, 1, 7, 9}] (* Harvey P. Dale, Oct 27 2019 *)
PROG
(PARI) Vec(-x*(9*x^9+7*x^8+x^7+3*x^6+x^5+x^4+3*x^3+x^2+7*x+1)/((x-1)*(x+1)*(x^4-x^3+x^2-x+1)*(x^4+x^3+x^2+x+1)) + O(x^100)) \\ Colin Barker, Dec 04 2014
CROSSREFS
KEYWORD
base,easy,nonn
AUTHOR
Giovanni Teofilatto, Jul 25 2007
STATUS
approved