A096320 a(n) = (n^2+n+4)/2, modulo 10.

2, 3, 5, 8, 2, 7, 3, 0, 8, 7, 7, 8, 0, 3, 7, 2, 8, 5, 3, 2, 2, 3, 5, 8, 2, 7, 3, 0, 8, 7, 7, 8, 0, 3, 7, 2, 8, 5, 3, 2, 2, 3, 5, 8, 2, 7, 3, 0, 8, 7, 7, 8, 0, 3, 7, 2, 8, 5, 3, 2, 2, 3, 5, 8, 2, 7, 3, 0, 8, 7, 7, 8, 0, 3, 7, 2, 8, 5, 3, 2, 2, 3, 5, 8, 2, 7, 3, 0, 8, 7, 7, 8, 0, 3, 7, 2, 8, 5, 3, 2, 2, 3, 5, 8, 2

Offset: 0

Author

Cino Hilliard, Aug 02 2004

Keywords

• nonn
• easy
• less

Comments

This periodic sequence equals A008954(n)+2 modulo 10 and also A061501(n+1)+1 modulo 10.

Links

• Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1).

Crossrefs

Cf. A008954, A061501.

Programs

Mathematica

Table[Mod[(n^2+n+4)/2,10],{n,0,110}] (* or *) LinearRecurrence[ {0,0,0,0,1,0,0,0,0,-1,0,0,0,0,1},{2,3,5,8,2,7,3,0,8,7,7,8,0,3,7},110] (* Harvey P. Dale, Nov 16 2012 *)

Formula

a(0)=2, a(1)=3, a(2)=5, a(3)=8, a(4)=2, a(5)=7, a(6)=3, a(7)=0, a(8)=8, a(9)=7, a(10)=7, a(11)=8, a(12)=0, a(13)=3, a(14)=7, a(n)=a(n-5)-a(n-10)+ a(n-15). - Harvey P. Dale, Nov 16 2012

Extensions

Edited by Don Reble, Apr 16 2007