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A306992 Lexicographically earliest sequence of distinct positive terms such that the product of two consecutive terms is digitally balanced. 2
1, 2, 5, 7, 6, 25, 9, 15, 10, 17, 12, 13, 4, 3, 14, 11, 18, 31, 19, 29, 8, 23, 26, 22, 40, 63, 33, 69, 36, 67, 34, 21, 99, 27, 30, 82, 28, 81, 35, 61, 16, 47, 50, 53, 48, 73, 37, 20, 41, 56, 45, 49, 43, 52, 51, 42, 54, 46, 55, 44, 57, 38, 65, 127, 66, 135, 70 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Digitally balanced numbers correspond to A031443.
This sequence has similarities with A269361.
LINKS
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 10
2 2 1010
3 5 100011
4 7 101010
5 6 10010110
6 25 11100001
7 9 10000111
8 15 10010110
9 10 10101010
10 17 11001100
11 12 10011100
12 13 110100
13 4 1100
14 3 101010
15 14 10011010
16 11 11000110
PROG
(PARI) See Links section.
CROSSREFS
See A306994 for the additive variant.
Sequence in context: A202392 A290410 A078320 * A325437 A141430 A021392
KEYWORD
nonn,look,base
AUTHOR
Rémy Sigrist, Mar 18 2019
STATUS
approved

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Last modified May 21 15:23 EDT 2024. Contains 372738 sequences. (Running on oeis4.)