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 A068101 #27 Oct 09 2017 02:17:52 %S A068101 1,1,1,0,1,0,1,0,0,0,1,-1,1,0,0,0,1,-1,1,0,0,0,1,-1,0,0,0,0,1,-2,1,0, %T A068101 0,0,0,0,1,0,0,-1,1,0,1,0,-1,0,1,0,0,-1,0,0,1,0,0,-1,0,0,1,-1,1,0,-1, %U A068101 0,0,0,1,0,0,-2,1,0,1,0,-1,0,0,0,1,-1,0,0,1,-1,0,0,0,0,1,-1,0,0,0,0,0,0,1,-1,0,0,1,0,1 %N A068101 a(n) = Sum_{k|n, k<=sqrt(n)} mu(k) where mu(k) is the Moebius function and the sum is over the positive divisors k of n with k <= sqrt(n). %H A068101 Reinhard Zumkeller, <a href="/A068101/b068101.txt">Table of n, a(n) for n = 1..10000</a> %F A068101 a(n) = Sum_{k=1..A038548(n)} A008683(A161906(n,k)). - _Reinhard Zumkeller_, Jul 30 2013 %F A068101 G.f.: Sum_{k>=1} mu(k)*x^(k^2)/(1 - x^k). - _Ilya Gutkovskiy_, Jan 03 2017 %t A068101 Table[DivisorSum[n, MoebiusMu, # <= Sqrt[n] &], {n, 103}] (* _Michael De Vlieger_, Sep 24 2017 *) %o A068101 (Haskell) %o A068101 a068101 = sum . map a008683 . a161906_row %o A068101 -- _Reinhard Zumkeller_, Jul 30 2013 %o A068101 (PARI) a(n) = sumdiv(n, k, (k<=sqrt(n))*moebius(k)); \\ _Michel Marcus_, Jan 03 2017 %Y A068101 Cf. A086956. %K A068101 sign %O A068101 1,30 %A A068101 _Leroy Quet_, Mar 22 2002