OFFSET
0,3
COMMENTS
This sequence is a variant of A366030; here we avoid common 1's in binary expansions, there common prime factors.
All the powers of 2 appear in the sequence, in ascending order.
For any k >= 0, the first term of the sequence whose binary expansion contains 2^k is 2^k.
Will every nonnegative integer appear in the sequence?
LINKS
Rémy Sigrist, Colored representation of the array for n, k <= 673 (grayish pixels correspond to powers of 2)
Rémy Sigrist, PARI program
EXAMPLE
Array A(n, k) begins:
n\k| 1 2 3 4 5 6 7 8
---+-----------------------------------------------------------------
1| 0 2 16 64 9 1024 8192 36
2| 1 8 32 256 20 4096 32768 131072
3| 4 17 128 34 2048 320 65536 1536
4| 10 68 257 144 16384 544 1048576 6144
5| 48 512 6 8193 32896 524288 72 4194560
6| 192 1056 520 2052 258 2097153 20480 32784
7| 768 4224 1088 262152 1048608 18 2049 67117056
8| 3072 16640 135168 33280 65600 12 50 129
PROG
(PARI) See Links section.
CROSSREFS
KEYWORD
AUTHOR
Rémy Sigrist, Sep 26 2023
STATUS
approved