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%I #8 Jan 23 2021 09:55:53
%S 1,23,456,10789,1111112345,101111226789,22222222345678,
%T 1022333333334569,102333344444445789,10234444455555556789,
%U 1023455555666666666789,102345666677777777777889,10012345677888888888889999,1000000011111122334455678999999999
%N Smallest number formed by using all the digits (with multiplicity) of next n numbers.
%o (Python)
%o def a(n):
%o s = "".join(sorted("".join(map(str, range((n-1)*n//2+1, n*(n+1)//2+1)))))
%o if '0' not in s: return int(s)
%o rz = s.rfind('0')
%o return int(s[rz+1] + s[:rz+1] + s[rz+2:])
%o print([a(n) for n in range(1, 15)]) # _Michael S. Branicky_, Jan 23 2021
%Y Cf. A053067 (next n concatenated), A080480 (largest).
%K base,easy,nonn
%O 1,2
%A _Amarnath Murthy_, Mar 11 2003
%E More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 19 2003
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