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 A287639 Lexicographically earliest sequence of distinct positive terms such that the sum of two consecutive terms has Hamming weight >= 10. 3
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS 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. LINKS Rémy Sigrist, Table of n, a(n) for n = 1..8192 Rémy Sigrist, PARI program for A287639 EXAMPLE 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 CROSSREFS Cf. A000120, A288139. Sequence in context: A081633 A020388 A306596 * A261676 A165097 A165101 Adjacent sequences:  A287636 A287637 A287638 * A287640 A287641 A287642 KEYWORD nonn,look,base AUTHOR Rémy Sigrist, Jun 17 2017 STATUS approved

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Last modified December 8 07:52 EST 2021. Contains 349593 sequences. (Running on oeis4.)