A095221 (Concatenation 1,2,3,...,n) mod n.

0, 0, 0, 2, 0, 0, 5, 6, 0, 0, 4, 0, 4, 4, 0, 12, 15, 0, 16, 0, 3, 4, 6, 12, 0, 16, 0, 8, 3, 0, 18, 28, 15, 16, 25, 0, 14, 10, 33, 20, 27, 24, 27, 4, 0, 36, 35, 12, 29, 0, 48, 4, 14, 0, 15, 4, 18, 28, 3, 0, 28, 60, 45, 60, 55, 48, 13, 52, 0, 50, 14, 36, 12, 72, 0, 20, 4, 72, 74, 60, 54, 24, 65

Offset: 1

Author

Amarnath Murthy, Jun 10 2004

Keywords

• base
• nonn
• easy

Examples

			a(4) = 1234 mod 4 = 2.
		

Links

• Michael S. Branicky, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A007908, A094151.

Programs

Python

from itertools import count, islice
def agen():
    s = "0"
    for n in count(1): s += str(n); yield int(s)%n
print(list(islice(agen(), 83))) # Michael S. Branicky, Nov 21 2022

Formula

a(n) = A007908(n) mod n. - Michel Marcus, Nov 21 2022

Extensions

More terms from John W. Layman, Jul 29 2005