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 A056757 #34 Jun 02 2024 10:17:58 %S A056757 2,3,4,5,6,7,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30,32,33, %T A056757 34,35,36,38,39,40,42,44,45,46,48,50,51,52,54,55,56,57,58,60,62,63,64, %U A056757 66,68,70,72,75,76,78,80,81,84,88,90,92,96,98,99,100,102,104,105,108,110 %N A056757 Cube of number of divisors is larger than the number. %C A056757 Sequence is finite with 51261 terms. - _Charles R Greathouse IV_, Apr 27 2011 [Corrected by _Amiram Eldar_, Jun 02 2024] %C A056757 The last odd term is a(15199) = 883575. The odd terms are in A056761. - _T. D. Noe_, May 14 2013 %H A056757 Charles R Greathouse IV, <a href="/A056757/b056757.txt">Table of n, a(n) for n = 1..51261</a> (complete sequence, corrected by Amiram Eldar) %F A056757 { k : A000005(k)^3 > k}. %e A056757 k = 27935107200 = 128*27*25*7*11*13*17*19 has 3072 divisors, 3072^3/k = 1.03779..., so k is a term. %t A056757 t = {}; Do[If[n < DivisorSigma[0,n]^3, AppendTo[t, n]], {n, 10^3}]; t (* _T. D. Noe_, May 14 2013 *) %t A056757 Select[Range[120],DivisorSigma[0,#]^3>#&] (* _Harvey P. Dale_, Apr 22 2019 *) %o A056757 (PARI) is(n)=numdiv(n)^3>n \\ _Charles R Greathouse IV_, Sep 14 2015 %Y A056757 Cf. A000005, A034884, A035033, A035034, A035035, A056761, A066693. %Y A056757 Cf. A175495 (k < 2^d(k)), A225729-A225738. %K A056757 fini,full,nonn %O A056757 1,1 %A A056757 _Labos Elemer_, Aug 16 2000