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

0,3

Links

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

Formula

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

Prog

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

Crossrefs

Cf. A000290, A003188, A006068.

Main diagonal of array A268725.

Sequence in context: A168210 A206612 A220131 * A300942 A160247 A300886

Adjacent sequences: A268720 A268721 A268722 * A268724 A268725 A268726

Keyword

nonn

Author

Antti Karttunen, Feb 13 2016

Status

approved