A072757 -id:A072757 - cp's OEIS frontend

A072758 a(0)=0, a(1)=1 and for k>1, a(2k)=least positive integer not a(j) for j<2k; and a(2k+1)=a(2k)+Floor(a(2k)/2).

0, 1, 2, 3, 4, 6, 5, 7, 8, 12, 9, 13, 10, 15, 11, 16, 14, 21, 17, 25, 18, 27, 19, 28, 20, 30, 22, 33, 23, 34, 24, 36, 26, 39, 29, 43, 31, 46, 32, 48, 35, 52, 37, 55, 38, 57, 40, 60, 41, 61, 42, 63, 44, 66, 45, 67, 47, 70, 49, 73, 50, 75, 51, 76, 53, 79, 54, 81, 56, 84, 58, 87

Offset: 0

Clark Kimberling, Jul 09 2002

nonn

A permutation of the nonnegative integers; a(2n)=A072756(n+1), a(2n+1)=A072757(n-1) for n>=1.

Cf. A072756, A072757, A072759.

A072756 a(n) = least nonnegative integer not a(k) and not a(k)+floor(a(k)/2) for k

Original entry on oeis.org

0, 1, 2, 4, 5, 8, 9, 10, 11, 14, 17, 18, 19, 20, 22, 23, 24, 26, 29, 31, 32, 35, 37, 38, 40, 41, 42, 44, 45, 47, 49, 50, 51, 53, 54, 56, 58, 59, 62, 64, 65, 68, 69, 71, 72, 74, 77, 78, 80, 82, 83, 85, 86, 89, 90, 91, 92, 94, 95, 98, 99, 100, 101, 104, 105, 107, 109, 110

Offset: 0

Clark Kimberling, Jul 09 2002

nonn

Cf. A072757, A072758, A072759.

A104463 Complement of {A072756(n): n>=2}.

Original entry on oeis.org

0, 1, 3, 6, 7, 12, 13, 15, 16, 21, 25, 27, 28, 30, 33, 34, 36, 39, 43, 46, 48, 52, 55, 57, 60, 61, 63, 66, 67, 70, 73, 75, 76, 79, 81, 84, 87, 88, 93, 96, 97, 102, 103, 106, 108, 111, 115, 117, 120, 123, 124, 127, 129, 133, 135, 136, 138, 141, 142, 147, 148, 150, 151

Offset: 0

Clark Kimberling, Mar 08 2005

nonn

			The sequences a(n)=A072756(n) and b(n)=A104463(n) are jointly defined:
a(n) = least positive integer not a(k) + Floor(a(k)/2) for k<n. Thus
a(0)=0, b(0)=0, a(1)=1, b(1)=1, a(2)=2, b(2)=3, a(3)=4, b(4)=6,...

Cf. A072756, A104464.

A104463(n)=s(n)+Floor(s(n)/2), where s(n)=A072756(n).

a(n)=A072757(n-2), n>1. [From R. J. Mathar, Aug 28 2008]

cp's OEIS Frontend

A072758 a(0)=0, a(1)=1 and for k>1, a(2k)=least positive integer not a(j) for j<2k; and a(2k+1)=a(2k)+Floor(a(2k)/2).

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A072756 a(n) = least nonnegative integer not a(k) and not a(k)+floor(a(k)/2) for k

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A104463 Complement of {A072756(n): n>=2}.

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