A158674 Period 18: repeat 3, 4, 0, 8, 6, 3, 3, 7, 0, 2, 6, 6, 3, 1, 0, 5, 6, 0.

3, 4, 0, 8, 6, 3, 3, 7, 0, 2, 6, 6, 3, 1, 0, 5, 6, 0, 3, 4, 0, 8, 6, 3, 3, 7, 0, 2, 6, 6, 3, 1, 0, 5, 6, 0, 3, 4, 0, 8, 6, 3, 3, 7, 0, 2, 6, 6, 3, 1, 0, 5, 6, 0, 3, 4, 0, 8, 6, 3, 3, 7, 0, 2, 6, 6, 3, 1, 0, 5, 6, 0, 3, 4, 0, 8, 6, 3, 3, 7, 0, 2, 6, 6, 3, 1, 0, 5, 6, 0, 3, 4, 0, 8, 6, 3, 3, 7, 0, 2, 6, 6, 3, 1

Offset: 1

Author

Paul Curtz, Mar 24 2009

Keywords

• nonn
• easy
• less

Comments

Also the decimal expansion of 378737078073678400/111111111111111111 .

Links

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

Programs

PARI

a(n)=[0, 3, 4, 0, 8, 6, 3, 3, 7, 0, 2, 6, 6, 3, 1, 0, 5, 6][n%18+1] \\ Charles R Greathouse IV, Jul 17 2016

Formula

a(n) = A106833(n) mod 9.

G.f.: -(3+4*x+8*x^3+6*x^4+3*x^5+3*x^6+7*x^7+2*x^9+6*x^10+6*x^11+3*x^12+x^13+5*x^15+6*x^16) / ((x-1) * (1+x+x^2) * (1+x^3+x^6) * (1+x) * (1-x+x^2) * (1-x^3+x^6)).

Extensions

References to apparently unrelated sequences removed by R. J. Mathar, Mar 02 2010