A320394 Number of ones in binary expansion n^5.

0, 1, 1, 6, 1, 6, 6, 7, 1, 9, 6, 10, 6, 11, 7, 12, 1, 10, 9, 9, 6, 11, 10, 14, 6, 11, 11, 15, 7, 15, 12, 15, 1, 10, 10, 13, 9, 11, 9, 13, 6, 16, 11, 15, 10, 21, 14, 18, 6, 15, 11, 13, 11, 13, 15, 19, 7, 17, 15, 14, 12, 14, 15, 18, 1, 10, 10, 14, 10, 18, 13, 18

Offset

0,4

Comments

The binary weight of n^5.

Links

Table of n, a(n) for n=0..71.

Formula

a(n) = A000120(A000584(n)).

Mathematica

Table[DigitCount[n^5, 2][[1]], {n, 0, 100}]

Prog

(Magma) [&+Intseq(n^5, 2): n in [0..79]];
(PARI) a(n) = hammingweight(n^5); \\ Michel Marcus, Nov 28 2018

Crossrefs

Cf. A000120, A000584, A118738, A192085.

Sequence in context: A169886 A292862 A070472 * A151784 A093563 A081775

Adjacent sequences: A320391 A320392 A320393 * A320395 A320396 A320397

Keyword

nonn,base

Author

Vincenzo Librandi, Nov 28 2018

Status

approved