This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A278937 #38 Apr 27 2025 14:53:54 %S A278937 11,101,110,1001,1010,1100,10001,10010,10100,11000,100001,100010, %T A278937 100100,101000,110000,684917,1000001,1000010,1000100,1001000,1010000, %U A278937 1100000,6849170,10000001,10000010,10000100,10001000,10010000,10100000,11000000 %N A278937 Numbers k such that 3 is the largest decimal digit of k^3. %C A278937 A038444 is a subsequence. Are there an infinite number of terms not in A038444 that are not a multiple of 10? - _Chai Wah Wu_, Dec 02 2016 %C A278937 Conjecture: sequence is equal to A038444 plus terms of the form 684917*10^k for k >= 0. - _Chai Wah Wu_, Sep 02 2017 %C A278937 Conjecture is true up to 4.8*10^18. - _Giovanni Resta_, Sep 03 2017 %H A278937 Chai Wah Wu, <a href="/A278937/b278937.txt">Table of n, a(n) for n = 1..130</a> %F A278937 a(n)^3 = A278936(n). %e A278937 684917 is in the sequence because 684917^3 = 321302302131323213. %t A278937 Select[Range[11 10^6],Max[IntegerDigits[#^3]]==3&] (* _Harvey P. Dale_, Feb 11 2025 *) %o A278937 (PARI) select(n->vecmax(digits(n^3))==3, vector(1000000, n, n)) %o A278937 (Magma) [n: n in [1..2*10^7] | Max(Intseq(n^3)) eq 3]; // _Vincenzo Librandi_, Dec 03 2016 %Y A278937 Cf. A000578 (the cubes: n^3), A038444, A277960 (analog for squares), A278936 (cubes of the terms: a(n)^3). %Y A278937 Cf. A031997 (the odd terms). %K A278937 nonn,base %O A278937 1,1 %A A278937 _Colin Barker_, Dec 02 2016