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.

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

Rémy Sigrist, Table of n, a(n) for n = 1..10000

Rémy Sigrist, PARI program for A306865

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

Cf. A069010, A287639.

Sequence in context: A252441 A236896 A076748 * A205223 A238040 A237959

Adjacent sequences: A306862 A306863 A306864 * A306866 A306867 A306868

Keyword

nonn,base

Author

Rémy Sigrist, Mar 14 2019

Status

approved