A268723 Main diagonal of A268725: a(n) = A003188(A006068(n)^2), where A003188 is binary Gray code and A006068 is its inverse.

0, 1, 13, 6, 41, 54, 24, 21, 145, 166, 216, 253, 96, 121, 69, 86, 545, 582, 664, 749, 864, 841, 949, 1014, 384, 433, 477, 486, 793, 278, 344, 357, 2113, 2182, 2328, 2509, 2656, 2793, 2901, 2998, 3456, 3537, 3901, 3366, 3641, 3798, 4056, 3973, 1536, 1633, 1709, 1734, 1801, 1910, 1944, 2037, 3313, 3174, 1112, 1053

Offset: 0

Author

Antti Karttunen, Feb 13 2016

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 0..8191

Crossrefs

Cf. A000290, A003188, A006068.

Main diagonal of array A268725.

Programs

Python

def A268723(n):
    k, m = n, n>>1
    while m > 0:
        k ^= m
        m >>= 1
    return (a:=k**2)^ a>>1 # Chai Wah Wu, Jun 30 2022

Scheme

(define (A268723 n) (A003188 (A000290 (A006068 n))))

Formula

a(n) = A003188(A000290(A006068(n))).