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A357989
Lexicographically earliest sequence of distinct numbers such that every sum of consecutive terms is an evil number (A001969).
1
0, 3, 6, 9, 15, 24, 29, 43, 58, 53, 18, 68, 298, 399, 71, 373, 2628, 444, 768, 2304, 6144, 2631, 441, 3072, 1604, 10684, 33348, 1212, 3908, 11452, 836, 3075, 1209, 43264, 98304, 33351, 3513, 1607, 10681, 1675, 3001, 44476, 4676, 12288, 3516, 176128, 524868
OFFSET
1,2
COMMENTS
This sequence has similarities with A357579; here we avoid odious numbers, there we avoid perfect powers.
This sequence is well defined as we can always extend the sequence with an evil number whose binary expansion has no 1's in common with all sums of consecutive terms so far.
LINKS
Rémy Sigrist, C++ program
EXAMPLE
For n = 1:
- 0 is evil,
- so a(1) = 0.
For n = 2:
- 1 and 2 are odious,
- 0 + 3 and 3 are evil,
- so a(2) = 3.
- For n = 3:
- 4 is odious,
- 3 + 5 is odious,
- 0 + 3 + 6, 3 + 6 and 6 are evil,
- so a(3) = 6.
PROG
(C++) See Links section.
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Rémy Sigrist, Oct 23 2022
STATUS
approved