login
A306865
Lexicographically earliest sequence of distinct positive terms such that the binary representation of the sum of two consecutive terms has at least 5 runs of ones.
2
1, 340, 257, 84, 513, 148, 193, 404, 273, 68, 529, 132, 209, 388, 289, 52, 545, 116, 225, 372, 305, 36, 561, 100, 241, 356, 321, 20, 577, 104, 237, 360, 301, 40, 557, 120, 221, 376, 285, 56, 541, 136, 205, 392, 269, 72, 525, 152, 189, 408, 253, 88, 509, 168
OFFSET
1,2
COMMENTS
This sequence is a variant of A287639.
This sequence is likely a permutation of the natural numbers.
LINKS
FORMULA
A069010(a(n) + a(n+1)) >= 5.
EXAMPLE
The first terms, alongside a(n)+a(n+1) in decimal and in binary, are:
n a(n) a(n)+a(n+1) bin(a(n)+a(n+1))
-- ---- ----------- ----------------
1 1 341 101010101
2 340 597 1001010101
3 257 341 101010101
4 84 597 1001010101
5 513 661 1010010101
6 148 341 101010101
7 193 597 1001010101
8 404 677 1010100101
9 273 341 101010101
10 68 597 1001010101
11 529 661 1010010101
12 132 341 101010101
13 209 597 1001010101
14 388 677 1010100101
15 289 341 101010101
16 52 597 1001010101
PROG
(PARI) See Links section.
CROSSREFS
Sequence in context: A252441 A236896 A076748 * A205223 A238040 A237959
KEYWORD
nonn,base
AUTHOR
Rémy Sigrist, Mar 14 2019
STATUS
approved