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 A100587 #20 Nov 03 2018 10:35:14 %S A100587 1,3,3,7,3,15,3,15,7,15,3,63,3,15,15,31,3,63,3,63,15,15,3,255,7,15,15, %T A100587 63,3,255,3,63,15,15,15,511,3,15,15,255,3,255,3,63,63,15,3,1023,7,63, %U A100587 15,63,3,255,15,255,15,15,3,4095,3,15,63,127,15,255,3,63,15,255,3,4095,3 %N A100587 Number of nonempty subsets of divisors of n. %C A100587 A119347(n) <= a(n). - _Reinhard Zumkeller_, Jun 27 2015 %H A100587 Reinhard Zumkeller, <a href="/A100587/b100587.txt">Table of n, a(n) for n = 1..10000</a> %H A100587 Wasin So, <a href="https://doi.org/10.1016/j.disc.2005.11.006">Integral circulant graphs</a>, Discr. Math. 306 (1) (2006) 153-158 %F A100587 a(n) = -1 + 2^tau(n), where tau(n) = DivisorSigma(0, n) = A000005(n). %e A100587 For all prime numbers p, a(p)=3, since those subsets are {{1,p},{1},{p}}. %p A100587 A100587:=n->-1+2^numtheory[tau](n): seq(A100587(n), n=1..100); # _Wesley Ivan Hurt_, Dec 12 2015 %t A100587 Table[2^DivisorSigma[0, n] - 1, {n, 73}] (* _Michael De Vlieger_, Dec 11 2015 *) %o A100587 (PARI) a(n) = 2^(numdiv(n)) - 1; \\ _Michel Marcus_, Dec 15 2013 %o A100587 (Haskell) %o A100587 a100587 = (subtract 1) . (2 ^) . a000005' %o A100587 -- _Reinhard Zumkeller_, Jun 27 2015 %Y A100587 Cf. A000005, A066781, A100371. %Y A100587 Cf. A119347. %K A100587 nonn,easy %O A100587 1,2 %A A100587 _Labos Elemer_, Dec 01 2004