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A119036 Numbers k such that the k-th triangular number contains only digits {0,1,3}. 2

%I #12 Sep 08 2022 08:45:25

%S 1,2,4,24,77,141,778,1421,1435,1620,14220,15035,45453,148533,148546,

%T 249122,471404,791597,4497399,2580747997,47180737658,148411814220,

%U 244989930458,447283652733,1422190795997,2581981034024

%N Numbers k such that the k-th triangular number contains only digits {0,1,3}.

%H G. Resta, <a href="http://www.numbersaplenty.com/tr/tr013.html">Tridigital Triangular Numbers</a>

%t Select[Range[2 10^7], Complement[IntegerDigits[Binomial[# + 1, 2]], {0, 1, 3}] == {}&] (* _Vincenzo Librandi_, Oct 07 2015 *)

%o (Magma) [n: n in [1..2*10^7] | Set(Intseq(Binomial(n+1, 2))) subset [0, 1, 3]]; // _Vincenzo Librandi_, Oct 07 2015

%Y Cf. A000217, A119035. See A119034 for a table of cross-references.

%K nonn,base

%O 1,2

%A _Giovanni Resta_, May 10 2006

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Last modified April 24 04:14 EDT 2024. Contains 371918 sequences. (Running on oeis4.)