A377292 Terms of A118666 as produced by the program given there (without the final sorting).

0, 1, 6, 7, 20, 18, 21, 19, 120, 108, 126, 106, 121, 109, 127, 107, 272, 360, 260, 380, 278, 366, 258, 378, 273, 361, 261, 381, 279, 367, 259, 379, 1632, 1904, 1560, 1800, 1652, 1892, 1548, 1820, 1638, 1910, 1566, 1806, 1650, 1890, 1546, 1818, 1633, 1905, 1561, 1801

Offset: 0

Author

Darío Clavijo, Dec 27 2024

Keywords

• nonn

Links

• Joerg Arndt, Matters Computational (The Fxtbook), section 1.19.3 "Fixed points of the blue code", p.52-54, with a(n) = blue_fixed_point(n).
• Index entries for sequences operating on (or containing) GF(2)[X]-polynomials

Crossrefs

Cf. A118666, A117998.

Programs

Python

A048726 = lambda n: (n << 2) ^ (n << 1)
def a(n):
    if n == 0: return 0
    f, s = 1, n
    while s > 1:
        f = A048726(f) | (s & 1)
        s >>= 1
    return f
print([a(n) for n in range(0, 52)])

Formula

a(2^k) = A117998(k).