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#12 by N. J. A. Sloane at Sun Apr 30 07:55:57 EDT 2017
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#11 by Antti Karttunen at Fri Apr 28 01:25:59 EDT 2017
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Discussion
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| Fri Apr 28
| 14:51
| Antti Karttunen: (The above musings were related to the formula a(n) = n*A201555(n) / 2^(A285717(n)) = A000265(n*A201555(n)) I gave for https://oeis.org/A285388).
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#10 by Antti Karttunen at Fri Apr 28 00:56:33 EDT 2017
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#9 by Antti Karttunen at Thu Apr 27 13:44:36 EDT 2017
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#8 by Antti Karttunen at Thu Apr 27 13:44:01 EDT 2017
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#7 by Indranil Ghosh at Thu Apr 27 12:07:45 EDT 2017
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#6 by Indranil Ghosh at Thu Apr 27 12:07:14 EDT 2017
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| MATHEMATICA
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Table[IntegerExponent[n, 2] + DigitCount[n^2, 2, 1], {n, 120}] (* Indranil Ghosh, Apr 27 2017 *)
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#5 by Indranil Ghosh at Thu Apr 27 12:04:12 EDT 2017
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| PROG
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(PARI) a(n) = valuation(n, 2) + hammingweight(n^2); \\ Indranil Ghosh, Apr 27 2017
(Python)
import math
def a(n): return int(math.log(n - (n & n - 1), 2)) + bin(n**2)[2:].count("1") # Indranil Ghosh, Apr 27 2017
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| STATUS
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proposed
editing
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#4 by Antti Karttunen at Thu Apr 27 08:31:16 EDT 2017
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#3 by Antti Karttunen at Thu Apr 27 08:29:55 EDT 2017
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| LINKS
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Antti Karttunen, <a href="/A285717/b285717.txt">Table of n, a(n) for n = 1..8192</a>
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