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
Examples
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
Links
- Rémy Sigrist, Table of n, a(n) for n = 1..10000
- Rémy Sigrist, PARI program for A306994
Programs
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PARI
See Links section.
Comments