A283750 a(n) = n^2 XOR (n + 1)^2.

1, 5, 13, 25, 9, 61, 21, 113, 17, 53, 29, 233, 57, 109, 37, 481, 33, 101, 45, 249, 41, 93, 1013, 81, 49, 213, 125, 457, 89, 205, 69, 1985, 65, 197, 77, 473, 73, 253, 85, 945, 209, 117, 477, 169, 121, 4013, 229, 417, 97, 165, 1005, 185, 105, 413, 181, 1937, 241, 405, 189, 905, 153, 397, 133, 8065, 129, 389, 141, 921

Offset: 0

Author

Ilya Gutkovskiy, Mar 15 2017

Keywords

• nonn

Comments

XOR the binary representations of n^2 and (n + 1)^2.

Links

• Antti Karttunen, Table of n, a(n) for n = 0..20000
• Ilya Gutkovskiy, Extended graphical example
• Eric Weisstein's World of Mathematics, XOR
• Index entries for sequences related to binary expansion of n

Crossrefs

Cf. A000290, A003987, A016813 (records), A038712, A112591, A169810.

Cf. also A379007.

Programs

Mathematica

Table[BitXor[n^2, (n + 1)^2], {n, 0, 67}]

PARI

A283750(n) = bitxor(n^2, (n+1)^2); \\ Indranil Ghosh, Mar 15 2017, Antti Karttunen, Dec 16 2024

Python

def A283750(n): return (n**2)^(n + 1)**2 # Indranil Ghosh, Mar 15 2017

Formula

a(n) = A000290(n) XOR A000290(n+1).