A144468 Final digit of multiples of 7.

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

Offset

0,2

Comments

Period 10: repeat [0, 7, 4, 1, 8, 5, 2, 9, 6, 3]. The ten digits by jumps of three terms or a(3n). Also reverse of A131579(n+1), n =1..10, repeated.

Links

Table of n, a(n) for n=0..95.

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

Formula

a(n) = 7*n (mod 10) = -3*n (mod 10), n >= 0. See the name.

a(n+10) = a(n). - Wesley Ivan Hurt, Apr 16 2024

Mathematica

Table[Last[IntegerDigits[7n]], {n, 0, 98}] (* Alonso del Arte, Feb 06 2014 *)
Mod[7*Range[0, 100], 10] (* or *) PadRight[{}, 100, {0, 7, 4, 1, 8, 5, 2, 9, 6, 3}] (* Harvey P. Dale, Jul 28 2017 *)

Prog

(PARI) a(n)=7*n%10 \\ Charles R Greathouse IV, Jun 02 2011

Crossrefs

Cf. A131579.

Sequence in context: A372275 A010508 A070403 * A237042 A258225 A059630

Adjacent sequences: A144465 A144466 A144467 * A144469 A144470 A144471

Keyword

nonn,easy,base

Author

Paul Curtz, Oct 09 2008

Status

approved