A156199 Period 12: repeat 1, 1, 4, 2, 4, 1, 1, 2, 7, 1, 7, 2 .

1, 1, 4, 2, 4, 1, 1, 2, 7, 1, 7, 2, 1, 1, 4, 2, 4, 1, 1, 2, 7, 1, 7, 2, 1, 1, 4, 2, 4, 1, 1, 2, 7, 1, 7, 2, 1, 1, 4, 2, 4, 1, 1, 2, 7, 1, 7, 2, 1, 1, 4, 2, 4, 1, 1, 2, 7, 1, 7, 2, 1, 1, 4, 2, 4, 1, 1, 2, 7, 1, 7, 2, 1, 1, 4, 2, 4, 1, 1, 2, 7, 1, 7, 2, 1, 1, 4, 2, 4, 1, 1, 2, 7, 1, 7, 2, 1, 1, 4, 2, 4, 1, 1, 2, 7

Offset: 0

Author

Paul Curtz, Feb 05 2009

Keywords

• nonn
• easy
• less

Comments

The period is essentially the reversal of the period in A156194.

The first 7 elements of the period (1, 1, 4, 2, 4, 1, 1) are palindromic and the other 5, (2, 7, 1, 7, 2), too.

Links

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

Crossrefs

Cf. A156194.

Programs

Mathematica

LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1},{1, 1, 4, 2, 4, 1, 1, 2, 7, 1, 7, 2},105] (* Ray Chandler, Aug 08 2015 *)
PadRight[{},110,{1,1,4,2,4,1,1,2,7,1,7,2}] (* Harvey P. Dale, Sep 14 2020 *)

Formula

a(n) = A156094(n) mod 9.

a(n) = A156194(n+6).

G.f.: (1 + x + 4*x^2 + 2*x^3 + 4*x^4 + x^5 + x^6 + 2*x^7 + 7*x^8 + x^9 + 7*x^10 + 2*x^11)/( (1-x) * (1+x+x^2) * (1+x) * (1-x+x^2) * (1+x^2) * (x^4-x^2+1)). - R. J. Mathar, Nov 22 2009

Extensions

Edited by R. J. Mathar, Nov 22 2009