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Numbers k such that the k-th triangular number contains only digits {1,5,9}.
2

%I #8 Jul 13 2021 07:28:36

%S 1,5,10,13,34,101,109,138,1738,10114,19794,1011090,1019010,1054130,

%T 1091010,34406858,178858133,565606858,4289521091010,55841058721258

%N Numbers k such that the k-th triangular number contains only digits {1,5,9}.

%C Next term exceeds 1.4*10^16.

%H G. Resta, <a href="http://www.numbersaplenty.com/tr/tr159.html">Tridigital Triangular Numbers</a>

%Y Cf. A000217, A119138. See A119034 for a table of cross-references.

%K nonn,base,more

%O 1,2

%A _Giovanni Resta_, May 10 2006