A277813 a(n) = A115384(A277812(n)) = index of the row where n is located in array A277880.

1, 2, 1, 3, 2, 1, 4, 5, 3, 2, 6, 1, 7, 8, 4, 9, 5, 3, 10, 2, 11, 12, 6, 1, 13, 14, 7, 15, 8, 4, 16, 17, 9, 5, 18, 3, 19, 20, 10, 2, 21, 22, 11, 23, 12, 6, 24, 1, 25, 26, 13, 27, 14, 7, 28, 29, 15, 8, 30, 4, 31, 32, 16, 33, 17, 9, 34, 5, 35, 36, 18, 3, 37, 38, 19, 39, 20, 10, 40, 2, 41, 42, 21, 43, 22, 11, 44, 45, 23, 12, 46, 6, 47, 48, 24, 1, 49, 50

Offset

1,2

Comments

a(n) = index of the first odious number which is encountered when we start from k = n and iterate the map k -> A003188(A006068(k)/2).

Ordinal transform of A277822.

This works as a left inverse of A000069 like also does A115384.

Links

Antti Karttunen, Table of n, a(n) for n = 1..16384

Index entries for sequences related to binary expansion of n

Formula

a(n) = A115384(A277812(n)).

Other identities. For all n >= 1:

a(A000069(n)) = n.

a(n) = a(floor(n/2)) when A010060(n) = 0.

Prog

(Scheme) (define (A277813 n) (A115384 (A277812 n)))

Crossrefs

Cf. A000069, A001969, A003188, A006068, A010060, A115384, A268671, A277812, A277880, A277822.

Cf. A003945 (the positions of 1's in this sequence).

Sequence in context: A181971 A104741 A167237 * A200154 A208825 A344391

Adjacent sequences: A277810 A277811 A277812 * A277814 A277815 A277816

Keyword

nonn,base

Author

Antti Karttunen, Nov 03 2016

Status

approved