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%I #15 Aug 02 2020 13:05:23
%S 2,34,45,56,678910,78,8910111213141516,9101112,1011121314151617,
%T 11121314151617181920,12131415161718192021,1314151617181920,
%U 14151617181920212223242526272829303132333435,15161718192021222324252627282930,1617181920,17181920,1819,1920212223242526
%N Smallest multiple of n that is a concatenation of (increasing) natural numbers starting with(n+1).
%C a(37) has 2968 digits. - _Harvey P. Dale_, Aug 02 2020
%H Harvey P. Dale, <a href="/A077310/b077310.txt">Table of n, a(n) for n = 1..36</a>
%t 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 *)
%Y Cf. A077311, A077312.
%K base,nonn
%O 1,1
%A _Amarnath Murthy_, Nov 03 2002
%E More terms from Mark Hudson (mrmarkhudson(AT)hotmail.com), Aug 25 2004
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