login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A318460 a(n) = Sum_{d|n, d < n/d} (d XOR n/d), where XOR is bitwise-xor (A003987). 3
0, 3, 2, 5, 4, 8, 6, 15, 8, 18, 10, 24, 12, 20, 20, 27, 16, 35, 18, 30, 24, 32, 22, 52, 24, 42, 36, 44, 28, 56, 30, 63, 40, 54, 36, 81, 36, 56, 52, 90, 40, 80, 42, 80, 68, 68, 46, 116, 48, 93, 68, 86, 52, 112, 68, 112, 72, 90, 58, 144, 60, 92, 98, 119, 72, 136, 66, 122, 88, 128, 70, 171, 72, 114, 110, 136, 88, 152, 78 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..16384

Index entries for sequences related to binary expansion of n

Index entries for sequences related to sigma(n)

FORMULA

a(n) = (1/2) * Sum_{d|n} (d XOR n/d).

a(n) = A318462(n) - A037213(n).

PROG

A318460(n) = { my(xors=0); fordiv(n, d, if(d<(n/d), xors += bitxor(d, n/d))); (xors); };

CROSSREFS

Cf. A003987, A037213, A318461, A318462, A318463.

Sequence in context: A194078 A169752 A095720 * A276582 A240729 A339371

Adjacent sequences:  A318457 A318458 A318459 * A318461 A318462 A318463

KEYWORD

nonn,base

AUTHOR

Antti Karttunen, Aug 28 2018

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 17 03:42 EDT 2021. Contains 347478 sequences. (Running on oeis4.)