A142069 Period 9: repeat 3, 7, 2, 6, 1, 5, 0, 4, 8.

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

Offset: 1

Author

Paul Curtz, Sep 14 2008

Keywords

• nonn
• easy

Comments

The periodic part contains all digits from 0 to 8 and is a permutation of A141726.

Also the continued fractions of (13475 + sqrt(212576401))/8952 and the decimal expansion of 414016720/111111111.

Crossrefs

Cf. A010851, A141694.

Formula

a(n) = A141694(n) mod 9.

a(n) = a(n-9).

G.f.: -x*(3 + 7*x + 2*x^2 + 6*x^3 + x^4 + 5*x^5 + 4*x^7 + 8*x^8)/((x-1)*(1 + x + x^2)*(x^6 + x^3 + 1)).

a(3n+1) + a(3n+2) + a(3n+3) = A010851(n).

Extensions

Edited for readability by R. J. Mathar, Sep 11 2009