A306994 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

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