A131579 Period 10: repeat 0, 3, 6, 9, 2, 5, 8, 1, 4, 7.

0, 3, 6, 9, 2, 5, 8, 1, 4, 7, 0, 3, 6, 9, 2, 5, 8, 1, 4, 7, 0, 3, 6, 9, 2, 5, 8, 1, 4, 7, 0, 3, 6, 9, 2, 5, 8, 1, 4, 7, 0, 3, 6, 9, 2, 5, 8, 1, 4, 7, 0, 3, 6, 9, 2, 5, 8, 1, 4, 7, 0, 3, 6, 9, 2, 5, 8, 1, 4, 7, 0, 3, 6, 9, 2, 5, 8, 1, 4, 7, 0, 3, 6, 9, 2, 5, 8, 1, 4, 7, 0, 3, 6, 9, 2, 5, 8, 1, 4, 7, 0, 3, 6, 9, 2

Offset

0,2

Comments

a(n) = last digit of 3*n, n >= 0. a(n+7) = last digit of 3*n + 1, n >= 0, and a(n+4) = last digit of 3*n + 2, n >= 0. The last digit of -3*n = A144468(n), n >= 0, the last one of -3*n + 1 = A144468(n+3), n >= 0 and the last one of -3*n + 2 = A144468(n+6), n >= 0. - Wolfdieter Lang, Aug 14 2017

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

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

Formula

a(n) = A008585(n) mod 10. - Bruno Berselli, Mar 08 2011

G.f.: -x*(3 + 6*x + 9*x^2 + 2*x^3 + 5*x^4 + 8*x^5 + x^6 + 4*x^7 + 7*x^8) / ( (x-1) *(1+x) *(x^4 + x^3 + x^2 + x + 1) *(x^4 - x^3 + x^2 - x + 1) ). - R. J. Mathar, Mar 10 2011

Mathematica

PadRight[{}, 120, {0, 3, 6, 9, 2, 5, 8, 1, 4, 7}] (* Vincenzo Librandi, Aug 15 2017 *)

Prog

(Magma) &cat[[0, 3, 6, 9, 2, 5, 8, 1, 4, 7]^^10]; // Vincenzo Librandi, Aug 15 2017

Crossrefs

Cf. A022336, A025648, A025655, A059626, A144468.

Sequence in context: A183033 A199735 A198143 * A059626 A258226 A258329

Adjacent sequences: A131576 A131577 A131578 * A131580 A131581 A131582

Keyword

nonn,easy

Author

Paul Curtz, Oct 02 2007

Status

approved