A156194 Period 12: 1,2,7,1,7,2,1,1,4,2,4,1 repeated.

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

Offset: 0

Author

Paul Curtz, Feb 05 2009

Keywords

• nonn
• easy
• less

Comments

Also the decimal expansion of 42390704747/333333333333. - R. J. Mathar, Feb 23 2009

Links

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

Programs

Mathematica

PadRight[{},144,{1,2,7,1,7,2,1,1,4,2,4,1}] (* Harvey P. Dale, Mar 06 2012 *)

Formula

Palindromic properties: a(12k+i) = a(12k+6-i), i=0..3. a(12k+7+i) = a(12k+11-i), i=0..2, and similarly for successive differences.

a(n) = A156095(n) mod 9.

a(n) = A156094(n+6) mod 9.

a(4n) + a(4n+1) + a(4n+2) + a(4n+3) = A010850(n).

G.f.: (1+2*x+7*x^2+x^3+7*x^4+2*x^5+x^6+x^7+4*x^8+2*x^9+4*x^10+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, Feb 23 2009

Extensions

Edited by R. J. Mathar, Feb 23 2009

More terms from Jinyuan Wang, Feb 26 2020