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A232243 a(n) = wt(n^2) - wt(n), where wt(n) = A000120(n) is the binary weight function. 1
0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 3, 2, -1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 3, 2, 3, 1, 2, 3, 3, 2, 4, -1, -1, 0, 2, 2, 1, 1, 4, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 3, 2, 3, 1, 3, 3, 5, 2, 3, 3, 0, 1, 3, 2, 4, 3, 3, 3, 2, 2, 5, 4, 0, -1, 1, -1, -1, 0, 2, 2, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,12

COMMENTS

A077436 gives n for which this sequence is zero.

A094694 gives n for which this sequence is negative.

LINKS

Table of n, a(n) for n=0..99.

FORMULA

a(n) = A159918(n) - A000120(n).

EXAMPLE

a(5) : 5 is 101, 25 is 11001, so a(5) is 3 - 2 = 1.

a(23) : 23 is 10111, 529 is 10001001, so a(23) = 3 - 4 = -1.

PROG

(JavaScript)

function bitCount(n) {

var i, c, s;

c=0;

s=n.toString(2);

for (i=0; i<s.length; i++) if (s.charAt(i)==1) c++;

return c;

}

for (i=0; i<100; i++) document.write(bitCount(i*i)-bitCount(i)+", ");

CROSSREFS

Cf. A000120, A159918, A077436, A094694, A231898.

Sequence in context: A231189 A219558 A279210 * A034876 A091393 A284557

Adjacent sequences:  A232240 A232241 A232242 * A232244 A232245 A232246

KEYWORD

sign,base

AUTHOR

Jon Perry, Nov 20 2013

STATUS

approved

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Last modified September 22 05:47 EDT 2019. Contains 327287 sequences. (Running on oeis4.)