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 A061743 #17 Oct 17 2024 14:46:14 %S A061743 11,14,15,17,19,20,23,24,26,27,29,31,32,34,35,38,39,41,43,44,47,48,49, %T A061743 50,51,53,54,55,56,59,62,63,64,65,67,68,69,71,74,75,76,77,79,80,83,84, %U A061743 86,87,89,90,91,92,94,95,97,98,99,101,103,104,107,109,110,111,113,114 %N A061743 Numbers k such that k! is divisible by (k+1)^2. %H A061743 Harry J. Smith, <a href="/A061743/b061743.txt">Table of n, a(n) for n = 1..2000</a> %F A061743 a(n) = A264828(n+3)-1. Complement of {A178156} - 1. - _Chai Wah Wu_, Oct 17 2024 %t A061743 Select[Range[120], IntegerQ[ #!/(# + 1)^2] &] %o A061743 (PARI) { n=0; f=1; for (a=1, 2588, f*=a; if (f%(a + 1)^2 == 0, write("b061743.txt", n++, " ", a)) ) } \\ _Harry J. Smith_, Jul 27 2009 %o A061743 (PARI) isok(k) = !(k! % (k+1)^2); \\ _Michel Marcus_, Jul 01 2018 %o A061743 (Python) %o A061743 from sympy import primepi %o A061743 def A061743(n): %o A061743 def f(x): return int(n+2+primepi(x+1)+primepi(x+1>>1)) %o A061743 m, k = n, f(n) %o A061743 while m != k: m, k = k, f(k) %o A061743 return m # _Chai Wah Wu_, Oct 17 2024 %Y A061743 Cf. A001751, A060462, A178156, A264848. %K A061743 nonn %O A061743 1,1 %A A061743 _Robert G. Wilson v_, Jun 21 2001