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A318463 a(n) = Sum_{d|n, d < n/d} (d AND n/d), where AND is bitwise-and (A004198). 5
0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 6, 4, 2, 1, 4, 1, 0, 2, 6, 1, 8, 1, 0, 4, 0, 6, 2, 1, 2, 2, 0, 1, 8, 1, 2, 5, 2, 1, 4, 1, 0, 2, 6, 1, 4, 2, 4, 4, 0, 1, 12, 1, 2, 3, 0, 6, 4, 1, 2, 4, 8, 1, 12, 1, 0, 7, 2, 4, 8, 1, 12, 4, 0, 1, 16, 2, 2, 2, 12, 1, 16, 6, 6, 4, 2, 2, 8, 1, 6, 11, 6, 1, 4, 1, 8, 16 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,6

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) = A000203(n) - A318461(n) = (A000203(n)-A318462(n))/2.

PROG

A318463(n) = { my(ands=0); fordiv(n, d, if(d<(n/d), ands += bitand(d, n/d))); (ands); };

CROSSREFS

Cf. A000203, A004198, A318458, A318460, A318461, A318462.

Sequence in context: A097468 A283144 A098381 * A030372 A065363 A119995

Adjacent sequences:  A318460 A318461 A318462 * A318464 A318465 A318466

KEYWORD

nonn,base

AUTHOR

Antti Karttunen, Aug 28 2018

STATUS

approved

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Last modified January 21 16:47 EST 2020. Contains 331114 sequences. (Running on oeis4.)