A353660 The binary expansions of A352909(n+1, 1) and A352909(n+1, 2) encode respectively the 1's and the 2's in the ternary expansion of a(n).
0, 2, 1, 6, 3, 8, 7, 5, 4, 18, 9, 20, 19, 11, 10, 24, 21, 15, 12, 26, 25, 23, 22, 17, 16, 14, 13, 54, 27, 56, 55, 29, 28, 60, 57, 33, 30, 62, 61, 59, 58, 35, 34, 32, 31, 72, 63, 45, 36, 74, 73, 65, 64, 47, 46, 38, 37, 78, 75, 69, 66, 51, 48, 42, 39, 80, 79, 77
Offset: 0
Examples
For n = 42: - A352909(43, 1) = 9, - A352909(43, 2) = 2, - the binary expansion of 9 is "1001", - the binary expansion of 2 is "10", - so the ternary expansion of a(42) is "1021", - and a(42) = 34.
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Programs
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PARI
b2t(n) = fromdigits(binary(n), 3) { n=-1; for (d=0, 2^8-1, for (k=0, d, if (bitand(t1=k, t2=d-k)==0, print1 (b2t(t1) + 2*b2t(t2)", "); if (n++==67, break (2))))) }
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