A211770 a(n) = concatenation of periods of periodic sequences of ending digits of multiples of n.

1234567890, 24680, 3692581470, 48260, 50, 62840, 7418529630, 86420, 9876543210, 0, 1234567890, 24680, 3692581470, 48260, 50, 62840, 7418529630, 86420, 9876543210, 0, 1234567890, 24680, 3692581470, 48260, 50, 62840, 7418529630, 86420, 9876543210, 0

Offset

1,1

Comments

Periodic sequence with period {1234567890, 24680, 3692581470, 48260, 50, 62840, 7418529630, 86420, 9876543210, 0}.

Links

Table of n, a(n) for n=1..30.

Formula

a(n) = a(10*k + n) for k = 1, 2, 3, …

Example

 For n = 3; multiples of 3: 3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,…; ending digits: 3,6,9,2,5,8,1,4,7,0,3,6,9,2,…; period: 3,6,9,2,5,8,1,4,7,0; concatenation of period: 3692581470.

Mathematica

PadRight[{}, 40, {1234567890, 24680, 3692581470, 48260, 50, 62840, 7418529630, 86420, 9876543210, 0}] (* Harvey P. Dale, Jan 10 2024 *)

Crossrefs

Sequence in context: A262996 A022250 A344365 * A167461 A135605 A091416

Adjacent sequences: A211767 A211768 A211769 * A211771 A211772 A211773

Keyword

nonn,base

Author

Jaroslav Krizek, Apr 26 2012

Status

approved