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 A049110 #10 Nov 07 2018 21:46:34 %S A049110 6,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,12,8,8,8,8,8,8,8,8, %T A049110 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,12,8,8,8, %U A049110 8,8,12,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8 %N A049110 Number of divisors of A006601(n). %H A049110 Antti Karttunen, <a href="/A049110/b049110.txt">Table of n, a(n) for n = 1..10000</a> %F A049110 a(n) = A000005(A006601(n)). %t A049110 With[{s = DivisorSigma[0, Range[10^5]]}, s[[SequencePosition[s, {x_, x_, x_, x_}][[All, 1]] ]] ] (* _Michael De Vlieger_, Nov 07 2018, after _Harvey P. Dale_ at A006601 *) %o A049110 (PARI) %o A049110 up_to = 10000; %o A049110 A049110list(up_to) = { my(v=vector(up_to),t,n=1,i=0); while(i<up_to,t = numdiv(n); if(numdiv(n+1)==t && numdiv(n+2)==t && numdiv(n+3)==t, i++; v[i] = t); n++); (v); } %o A049110 v049110 = A049110list(up_to); %o A049110 A049110(n) = v049110[n]; \\ _Antti Karttunen_, Nov 07 2018 %o A049110 (PARI) upto(n) = my(res = List(), current = 1, c, streak = 1); for(i = 2, n + 3, c = numdiv(i); if(c == current, streak++; if(streak == 4, listput(res, c)), streak = 1; current = c)); res \\ _David A. Corneth_, Nov 07 2018 %Y A049110 Cf. A000005, A006601. %K A049110 nonn %O A049110 1,1 %A A049110 _Olivier Gérard_