A077310 Smallest multiple of n that is a concatenation of (increasing) natural numbers starting with(n+1).

2, 34, 45, 56, 678910, 78, 8910111213141516, 9101112, 1011121314151617, 11121314151617181920, 12131415161718192021, 1314151617181920, 14151617181920212223242526272829303132333435, 15161718192021222324252627282930, 1617181920, 17181920, 1819, 1920212223242526

Offset

1,1

Comments

a(37) has 2968 digits. - Harvey P. Dale, Aug 02 2020

Links

Harvey P. Dale, Table of n, a(n) for n = 1..36

Mathematica

smn[n_]:=Module[{k=n+1, q=0}, While[Mod[FromDigits[Flatten[ IntegerDigits/@ Range[ k, k+q]]], n]!=0, q++]; FromDigits[ Flatten[IntegerDigits/@ Range[ k, q+k]]]]; Array[smn, 20] (* Harvey P. Dale, Aug 02 2020 *)

Crossrefs

Cf. A077311, A077312.

Sequence in context: A249487 A211001 A124208 * A177051 A067130 A349496

Adjacent sequences: A077307 A077308 A077309 * A077311 A077312 A077313

Keyword

base,nonn

Author

Amarnath Murthy, Nov 03 2002

Extensions

More terms from Mark Hudson (mrmarkhudson(AT)hotmail.com), Aug 25 2004

Status

approved