A033067 Numbers whose base-16 representation Sum_{i=0..m} d(i)*16^i has odd d(m-i) for all odd i.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101, 103, 105, 107, 109, 111, 113, 115

Offset: 1

Author

Clark Kimberling

Keywords

• nonn
• base

Crossrefs

Disjoint with A032966 if more than 1 digit.

Programs

Maple

q:= n-> (l-> andmap(x-> x::odd, [seq(l[-i], i=2..nops(l), 2)]))(convert(n, base, 16)):
select(q, [$1..115])[];  # Alois P. Heinz, Jul 22 2025

Extensions

Definition corrected by R. J. Mathar and Alois P. Heinz, Jul 22 2025