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A287639
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Lexicographically earliest sequence of distinct positive terms such that the sum of two consecutive terms has Hamming weight >= 10.
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3
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1, 1022, 513, 510, 1025, 766, 257, 1278, 641, 382, 1153, 638, 385, 1150, 769, 254, 1281, 702, 321, 1214, 577, 446, 1089, 830, 193, 1342, 449, 574, 961, 62, 1473, 318, 705, 1086, 833, 190, 1345, 670, 353, 1182, 609, 414, 1121, 798, 225, 1310, 481, 542, 993, 30
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OFFSET
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1,2
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COMMENTS
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Conjecturally, this is a permutation of the natural numbers.
This sequence has connections with A288139: here we have a lower bound, there an upper bound, on the Hamming weight of the sum of two consecutive terms.
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LINKS
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EXAMPLE
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The first terms, alongside a(n)+a(n+1) in binary and its Hamming weight are:
n a(n) a(n)+a(n+1) Hamming weight
-- ---- ----------- --------------
1 1 1111111111 10
2 1022 10111111111 10
3 513 1111111111 10
4 510 10111111111 10
5 1025 11011111111 10
6 766 1111111111 10
7 257 10111111111 10
8 1278 11101111111 10
9 641 1111111111 10
10 382 10111111111 10
11 1153 11011111111 10
12 638 1111111111 10
13 385 10111111111 10
14 1150 11101111111 10
15 769 1111111111 10
16 254 10111111111 10
17 1281 11110111111 10
18 702 1111111111 10
19 321 10111111111 10
20 1214 11011111111 10
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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