A296420 Period of last digit of multiples of n.

1, 10, 5, 10, 5, 2, 5, 10, 5, 10, 1, 10, 5, 10, 5, 2, 5, 10, 5, 10, 1, 10, 5, 10, 5, 2, 5, 10, 5, 10, 1, 10, 5, 10, 5, 2, 5, 10, 5, 10, 1, 10, 5, 10, 5, 2, 5, 10, 5, 10, 1, 10, 5, 10, 5, 2, 5, 10, 5, 10, 1, 10, 5, 10, 5, 2, 5, 10, 5, 10, 1, 10, 5, 10, 5, 2, 5, 10

Offset: 0

Author

Leonardo Sznajder, Dec 11 2017

Keywords

• base
• nonn

Comments

The list is periodic, with period 10.

Examples

			a(6)=5 because multiples of 6 are 6, 12, 18, 24, 30, 36, 42 and the last digits of those numbers are 6,2,8,4,0,6,2,... with a period of 5.
		

Crossrefs

Cf. A054531.

Programs

Mathematica

Array[10/GCD[#, 10] &, 77] (* Michael De Vlieger, Dec 23 2017 *)

PARI

a(n) = 10/gcd(n, 10) \\ Iain Fox, Dec 11 2017

Extensions

More terms from Michael De Vlieger, Dec 23 2017.

Term a(0) = 1 prepended by Halfdan Skjerning, Jun 18 2019