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 A147648 #11 Jan 01 2024 07:59:10 %S A147648 0,1,0,2,0,1,0,2,0,1,0,2,0,1,0,3,0,1,0,2,0,1,0,2,0,1,0,2,0,1,0,3,0,1, %T A147648 0,2,0,1,0,2,0,1,0,2,0,1,0,3,0,1,0,2,0,1,0,2,0,1,0,2,0,1,0,4,0,1,0,2, %U A147648 0,1,0,2,0,1,0,2,0,1,0,3,0,1,0,2,0,1,0,2,0,1,0,2,0,1,0,3,0,1,0,2 %N A147648 Number of distinct even superperfect numbers dividing n. %C A147648 Also, numbers of distinct superperfect numbers dividing n, if there are no odd superperfect numbers. %H A147648 Antti Karttunen, <a href="/A147648/b147648.txt">Table of n, a(n) for n = 1..65537</a> %F A147648 Asymptotic mean: Limit_{m->oo} (1/m) * Sum_{k=1..m} a(k) = Sum_{n>=1} 1/A061652(n) = 0.828388215042... . - _Amiram Eldar_, Jan 01 2024 %t A147648 Array[DivisorSum[#, 1 &, And[EvenQ@ #, Nest[DivisorSigma[1, #] &, #, 2] == 2 #] &] &, 105] (* _Michael De Vlieger_, Nov 06 2018 *) %o A147648 (PARI) A147648(n) = sumdiv(n,d,(!(d%2)&&(sigma(sigma(d))==(2*d)))); \\ _Antti Karttunen_, Nov 06 2018 %Y A147648 Cf. A001221, A019279, A061652, A080225, A147645. %K A147648 easy,nonn %O A147648 1,4 %A A147648 _Omar E. Pol_, Nov 09 2008