A352783 Inverse permutation to A352782.
0, 1, 2, 5, 3, 9, 10, 21, 4, 13, 18, 37, 11, 41, 42, 85, 6, 17, 26, 53, 19, 73, 74, 149, 20, 45, 82, 165, 43, 169, 170, 341, 7, 25, 34, 69, 27, 105, 106, 213, 36, 77, 146, 293, 75, 297, 298, 597, 22, 81, 90, 181, 83, 329, 330, 661, 84, 173, 338, 677, 171, 681
Offset: 0
Examples
A352782(42) = 14, so a(14) = 42.
Links
Programs
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PARI
a(n) = { my (v=0, s=1, e, oz, o); while (n, n\=2^e=1+valuation(n, 2); oz = (sqrtint(e*8)+1)\2; o = e-binomial((sqrtint(8*e)+1)\2, 2); v += s * (2^o-1) * 2^(oz-o); s *= 2^(1+oz)); v }