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 A285717 #12 Apr 30 2017 07:55:57 %S A285717 1,2,2,3,3,3,3,4,3,4,5,4,4,4,4,5,3,4,5,5,6,6,3,5,5,5,6,5,5,5,5,6,3,4, %T A285717 5,5,6,6,7,6,5,7,7,7,8,4,4,6,5,6,5,6,8,7,7,6,6,6,7,6,6,6,6,7,3,4,5,5, %U A285717 6,6,7,6,6,7,9,7,7,8,5,7,6,6,8,8,7,8,7,8,9,9,5,5,6,5,5,7,5,6,6,7,9,6,7,7,6,9,8,8,8,8,4,7,7,7,8,7,9,8,8,7 %N A285717 a(n) = A007814(n) + A159918(n) = A007814(n) + A000120(n^2). %H A285717 Antti Karttunen, <a href="/A285717/b285717.txt">Table of n, a(n) for n = 1..8192</a> %H A285717 <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a> %F A285717 a(n) = A007814(n) + A159918(n) = A007814(n) + A000120(n^2). %F A285717 a(n) = A007814(n*A201555(n)). %t A285717 Table[IntegerExponent[n, 2] + DigitCount[n^2, 2, 1], {n, 120}] (* _Indranil Ghosh_, Apr 27 2017 *) %o A285717 (Scheme) %o A285717 (define (A285717 n) (+ (A007814 n) (A159918 n))) %o A285717 (define (A285717 n) (A007814 (* n (A201555 n)))) %o A285717 (PARI) a(n) = valuation(n, 2) + hammingweight(n^2); \\ _Indranil Ghosh_, Apr 27 2017 %o A285717 (Python) %o A285717 import math %o A285717 def a(n): return int(math.log(n - (n & n - 1), 2)) + bin(n**2)[2:].count("1") # _Indranil Ghosh_, Apr 27 2017 %Y A285717 Cf. A000120, A007814, A159918, A201555, A285388, A285406. %K A285717 nonn,base %O A285717 1,2 %A A285717 _Antti Karttunen_, Apr 27 2017