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

Offset

0,1

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.

Links

Table of n, a(n) for n=0..89.

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

Formula

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

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

G.f.: -(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) + a(3n+1) + a(3n+2) = A010851(n) = 12.

Mathematica

PadRight[{}, 108, {3, 7, 2, 6, 1, 5, 0, 4, 8}] (* Paolo Xausa, May 22 2026 *)

Crossrefs

Cf. A010851, A141694, A141726.

Sequence in context: A016618 A130789 A023529 * A389103 A385634 A387917

Adjacent sequences: A142066 A142067 A142068 * A142070 A142071 A142072

Keyword

nonn,easy

Author

Paul Curtz, Sep 14 2008

Extensions

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

Offset corrected by Andrew Howroyd, Nov 09 2025

Status

approved