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A368239
Irregular table of nonnegative integers T(n, k), n >= 0, k = 1..A080100(n), read by rows; the 1's in the binary expansion of n exactly match the 1's in the balanced ternary expansions of the terms in the n-th row.
3
0, 1, 2, 3, 4, 5, 6, 8, 9, 7, 10, 11, 12, 13, 14, 15, 17, 18, 23, 24, 26, 27, 16, 19, 25, 28, 20, 21, 29, 30, 22, 31, 32, 33, 35, 36, 34, 37, 38, 39, 40, 41, 42, 44, 45, 50, 51, 53, 54, 68, 69, 71, 72, 77, 78, 80, 81, 43, 46, 52, 55, 70, 73, 79, 82, 47, 48, 56, 57, 74, 75, 83, 84
OFFSET
0,3
COMMENTS
As a flat sequence, this is a permutation of the nonnegative integers with inverse A368240.
FORMULA
T(n, 1) = A147991(n) for any n > 0.
T(n, A080100(n)) = A005836(n + 1).
A343228(T(n, k)) = n.
EXAMPLE
Table T(n, k) begins:
0;
1;
2, 3;
4;
5, 6, 8, 9;
7, 10;
11, 12;
13;
14, 15, 17, 18, 23, 24, 26, 27;
16, 19, 25, 28;
20, 21, 29, 30;
22, 31;
32, 33, 35, 36;
34, 37;
38, 39;
40;
...
PROG
(PARI) row(n) = { my (r = [0], b = binary(n)); for (k = 1, #b, r = [3*v+b[k]|v<-r]; if (b[k]==0, r = concat(r, [v-1|v<-r]); ); ); Set(r); }
CROSSREFS
See A368225 for a similar sequence.
Sequence in context: A265568 A265552 A303936 * A303645 A064364 A332977
KEYWORD
nonn,tabf,base
AUTHOR
Rémy Sigrist, Dec 18 2023
STATUS
approved