A335133 -id:A335133 - cp's OEIS frontend

A335134 Fixed points of A335133.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 14, 15, 16, 17, 18, 19, 28, 29, 30, 31, 32, 33, 36, 37, 58, 59, 62, 63, 64, 65, 66, 67, 72, 73, 74, 75, 116, 117, 118, 119, 124, 125, 126, 127, 128, 129, 134, 135, 146, 147, 148, 149, 234, 235, 236, 237, 248, 249, 254, 255, 256

Offset: 1

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Rémy Sigrist, May 24 2020

nonn
base

The EQ-triangles generated from the binary expansion of the terms of this sequence have reflection symmetry through axis U-U:
.       U
.          ._________
.           \ .       /
.            \   .   /
.             \     .
.              \   /   .
.               \ /       U
.                v

			A335133(28) = 28, so 28 belongs to this sequence.

Rémy Sigrist, Illustration of initial terms

Cf. A335133.

is(n) = {
    my (b=binary(n), v=0);
    forstep (x=#b-1, 0, -1,
        if (b[1], v+=2^x);
        b=vector(#b-1, k, b[k]==b[k+1])
    );
    v==n
}

cp's OEIS Frontend

A335134 Fixed points of A335133.

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