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Numbers k such that the k-th triangular number contains only digits {5,6,7}.
3

%I #7 Jul 13 2021 21:31:07

%S 3,10,11,36,105,114,3363,3369,3648,10636,1073010,1164274,33336636,

%T 33336696,107290789,1063736505,3887841963,3333333366663363

%N Numbers k such that the k-th triangular number contains only digits {5,6,7}.

%C Next term exceeds 1.4*10^16.

%H G. Resta, <a href="http://www.numbersaplenty.com/tr/tr567.html">Tridigital Triangular Numbers</a>

%Y Cf. A000217, A119218. See A119034 for a table of cross-references.

%K nonn,base,more

%O 1,1

%A _Giovanni Resta_, May 10 2006