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A368225
Irregular table of nonnegative integers read by rows: the 1's in the binary expansion of n exactly match the nonzero digits in the balanced ternary expansions of the terms in the n-th row.
4
0, 1, 3, 2, 4, 9, 8, 10, 6, 12, 5, 7, 11, 13, 27, 26, 28, 24, 30, 23, 25, 29, 31, 18, 36, 17, 19, 35, 37, 15, 21, 33, 39, 14, 16, 20, 22, 32, 34, 38, 40, 81, 80, 82, 78, 84, 77, 79, 83, 85, 72, 90, 71, 73, 89, 91, 69, 75, 87, 93, 68, 70, 74, 76, 86, 88, 92, 94
OFFSET
0,3
COMMENTS
As a flat sequence, this is a permutation of the nonnegative integers with inverse A368226 and infinitely many fixed points (see Formula section).
Row 0 has one term, and for n > 0, row n has A048896(n-1) terms.
For any n >= 0, row n ends with A005836(n+1).
FORMULA
A343231(T(n, k)) = n.
a(m) = m for any m in A003462.
EXAMPLE
Table T(n, k) begins:
0;
1;
3;
2, 4;
9;
8, 10;
6, 12;
5, 7, 11, 13;
27;
26, 28;
24, 30;
23, 25, 29, 31;
18, 36;
17, 19, 35, 37;
15, 21, 33, 39;
14, 16, 20, 22, 32, 34, 38, 40;
81;
...
PROG
(PARI) row(n) = { my (r = [sign(n)], b = binary(n)); for (k = 2, #b, r = [3*v+b[k]|v<-r]; if (b[k], r = concat(r, [v-2|v<-r]); ); ); Set(r); }
CROSSREFS
See A368229 and A368239 for similar sequences.
Sequence in context: A094962 A338243 A338246 * A371267 A374726 A084793
KEYWORD
nonn,tabf,base
AUTHOR
Rémy Sigrist, Dec 18 2023
STATUS
approved