login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A344856 Bitwise XOR of prime(n) and n^2. 1
3, 7, 12, 23, 18, 41, 32, 83, 70, 121, 102, 181, 128, 239, 206, 309, 282, 377, 298, 471, 496, 427, 578, 537, 528, 705, 702, 891, 804, 1013, 958, 1155, 1224, 1039, 1116, 1415, 1476, 1287, 1366, 1773, 1570, 1617, 1926, 1873, 1836, 2179, 2162, 2527, 2434, 2337 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

This is effectively the bitwise XOR of A000040 and A000290.

LINKS

Chai Wah Wu, Table of n, a(n) for n = 1..10000

Chris von Csefalvay, Bitwise prime-square sequences ("Jellyfish Hearts").

Wikipedia, Bitwise operation

FORMULA

a(n) = prime(n) XOR n^2.

a(n) = A003987(A000040(n), A000290(n)).

EXAMPLE

For n=3, a(3) is prime(3) XOR 3^2 = 5 XOR 9 or b(0101) XOR b(1001) = (b)1100, which in base 10 is 12.

MAPLE

a:= n-> Bits[Xor](n^2, ithprime(n)):

seq(a(n), n=1..50); # Alois P. Heinz, May 30 2021

MATHEMATICA

a[n_] := BitXor[n^2, Prime[n]]; Array[a, 50] (* Amiram Eldar, Jun 05 2021 *)

PROG

(Python)

from sympy import primerange, prime

import numpy

def a_vector(n):

primes = list(primerange(0, prime(n)))

squares = [x ** 2 for x in range(1, n)]

return numpy.bitwise_xor(primes, squares)

(PARI) A344856(n) = bitxor(prime(n), n*n); \\ Antti Karttunen, Jun 05 2021

(Python)

from sympy import prime

def A344856(n): return prime(n) ^ n**2 # Chai Wah Wu, Jun 12 2021

CROSSREFS

Cf. A000040, A000290, A003987, A070883, A169810.

Sequence in context: A256483 A337946 A345433 * A262567 A226229 A167491

Adjacent sequences: A344853 A344854 A344855 * A344857 A344858 A344859

KEYWORD

nonn,base

AUTHOR

Chris von Csefalvay, May 30 2021

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 26 20:27 EST 2022. Contains 358362 sequences. (Running on oeis4.)