cp's OEIS Frontend

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.

A108775 a(n) = floor(sigma(n)/n).

This page as a plain text file.
%I A108775 #17 Sep 18 2015 08:19:17
%S A108775 1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,2,1,2,1,1,1,2,1,1,1,2,1,2,1,1,1,1,
%T A108775 1,2,1,1,1,2,1,2,1,1,1,1,1,2,1,1,1,1,1,2,1,2,1,1,1,2,1,1,1,1,1,2,1,1,
%U A108775 1,2,1,2,1,1,1,1,1,2,1,2,1,1,1,2,1,1,1,2,1,2,1,1,1,1,1,2,1,1,1,2,1,2,1,2,1
%N A108775 a(n) = floor(sigma(n)/n).
%C A108775 The sequence is unbounded. - Vrabec
%C A108775 First occurrence of k: 1,6,120,27720,..., which is A023199. - _Robert G. Wilson v_, Jun 28 2005
%C A108775 a(n) > 1 if n is perfect or abundant. a(n) = 2 if n is perfect or primitive abundant (see A091191). - _Alonso del Arte_, Feb 06 2012
%D A108775 W. Sierpinski, Elementary Theory of Numbers, 1987, p. 174 ff.
%H A108775 Reinhard Zumkeller, <a href="/A108775/b108775.txt">Table of n, a(n) for n = 1..10000</a>
%F A108775 a(n) = floor(A017665(n)/A017666(n)). - _Michel Marcus_, Sep 18 2015
%e A108775 a(6) = 2 because sigma(6)/6 = (1 + 2 + 3 + 6)/6 = 2.
%t A108775 Table[ Floor[ DivisorSigma[1, n]/n], {n, 105}] (* _Robert G. Wilson v_, Jun 28 2005 *)
%o A108775 (Haskell)
%o A108775 a108775 n = div (a000203 n) n  -- _Reinhard Zumkeller_, Mar 23 2013
%o A108775 (PARI) a(n) = sigma(n)\n; \\ _Michel Marcus_, Sep 18 2015
%Y A108775 Cf. A000203, A054024.
%Y A108775 Cf. A017665, A017666.
%K A108775 nonn
%O A108775 1,6
%A A108775 _Franz Vrabec_, Jun 27 2005
%E A108775 More terms from _Robert G. Wilson v_, Jun 28 2005