A125498 -id:A125498 - cp's OEIS frontend

A231431 Evil squares.

0, 9, 36, 144, 169, 225, 441, 576, 676, 729, 900, 1369, 1764, 2025, 2209, 2304, 2704, 2809, 2916, 3249, 3600, 3721, 3969, 4761, 5329, 5476, 6561, 6889, 7056, 8100, 8649, 8836, 9216, 9801, 10816, 11025, 11236, 11449, 11664, 11881, 12321, 12996, 13225, 14161, 14400, 14884, 15129, 15876, 17689, 18769, 19044, 19881, 21316, 21904

Offset: 1

Juri-Stepan Gerasimov, Nov 20 2013

Numbers n^2 such that A159918(n) is even.

Intersection of A000290 and A001969.

			36 is in the sequence because 36 = 6^2 and 36 in base 2 is 100100, having an even number of 1's.

Amiram Eldar, Table of n, a(n) for n = 1..10000

Cf. A000290, A125498.

Select[Range[0,150]^2,EvenQ[DigitCount[#,2,1]]&] (* Harvey P. Dale, Nov 23 2015 *)

is(n)=hammingweight(n)%2==0 && issquare(n) \\ Charles R Greathouse IV, Nov 20 2013

Conjecture: a(n) ~ 4n^2. - Charles R Greathouse IV, Nov 20 2013

Corrected and extended by Harvey P. Dale, Nov 23 2015

A234218 Primes whose cubes are odious.

Original entry on oeis.org

2, 13, 23, 29, 43, 59, 61, 67, 71, 73, 79, 89, 97, 101, 103, 109, 113, 131, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 229, 241, 251, 293, 311, 313, 337, 353, 367, 383, 389, 397, 409, 419, 431, 439, 443, 461, 467, 479, 499, 509, 521, 541, 563, 577, 601

Offset: 1

Irina Gerasimova, Dec 21 2013

Primes p with odious p^3.
Note: "odious" means having an odd number of 1-bits in number's binary representation. So, put in another way, primes p such that A010060(A000578(p)) = 1. - Antti Karttunen, Dec 22 2013
Subsequence of the numbers 1, 2, 4, 8, 13, 16, 23, 25, 26, 29, 32, 35, 43, 45, 46, ... which have odious cubes.

			Prime 2 is in this sequence because 2^3 = 8 and 8 is odious number. Prime 13 is in this sequence because 13*3 = 2197 and 2197 is odious number.

Antti Karttunen, Table of n, a(n) for n = 1..1001

Cf. A000069, A000120, A000578, A010060, A125498, A192085, A194991.

Select[Prime[Range[1000]], OddQ[DigitCount[#^3, 2, 1]] &] (* Indranil Ghosh, Apr 02 2017 *)

is(n)=isprime(n) && hammingweight(n^3)%2 \\ Charles R Greathouse IV, Mar 17 2014

Missing terms added by Antti Karttunen, Dec 22 2013

cp's OEIS Frontend

A231431 Evil squares.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Programs

Mathematica

PARI

Formula

Extensions