A306994 Lexicographically earliest sequence of distinct positive terms such that the sum of two consecutive terms is digitally balanced.

1, 8, 2, 7, 3, 6, 4, 5, 30, 11, 24, 13, 22, 15, 20, 17, 18, 19, 16, 21, 14, 23, 12, 25, 10, 27, 29, 9, 26, 109, 32, 103, 36, 99, 40, 95, 44, 91, 48, 87, 52, 83, 56, 79, 60, 75, 64, 71, 68, 67, 72, 63, 76, 59, 80, 55, 84, 51, 88, 47, 92, 43, 96, 39, 100, 35

Offset

1,2

Comments

Digitally balanced numbers correspond to A031443.

Links

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

Rémy Sigrist, PARI program for A306994

Example

The first terms, alongside the binary representation of a(n) + a(n+1), are:
  n   a(n)  bin(a(n)+a(n+1))
  --  ----  ----------------
   1     1              1001
   2     8              1010
   3     2              1001
   4     7              1010
   5     3              1001
   6     6              1010
   7     4              1001
   8     5            100011
   9    30            101001
  10    11            100011
  11    24            100101
  12    13            100011
  13    22            100101
  14    15            100011
  15    20            100101
  16    17            100011

Prog

(PARI) See Links section.

Crossrefs

See A306992 for the multiplicative variant.

Cf. A031443.

Sequence in context: A244686 A367479 A317386 * A152179 A306339 A132716

Adjacent sequences: A306991 A306992 A306993 * A306995 A306996 A306997

Keyword

nonn,look,base

Author

Rémy Sigrist, Mar 18 2019

Status

approved