A096607 -id:A096607 - cp's OEIS frontend

A096603 Numbers occurring twice in A096607.

1, 2, 4, 5, 8, 9, 11, 13, 16, 17, 19, 21, 23, 25, 27, 29, 32, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 64, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101, 103, 105, 107, 109, 111, 113, 115, 117, 119, 121, 123, 125, 128, 129

Offset: 1

Reinhard Zumkeller, Jun 30 2004

nonn

a(n) occurs more than twice in A096605;
complement of A096604, a and A096604 are disjoint;
A096602(a(n)) = A096604(n).

A096604 Numbers that appear at most once in A096607.

Original entry on oeis.org

3, 6, 7, 10, 12, 14, 15, 18, 20, 22, 24, 26, 28, 30, 31, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 63, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 110, 112, 114, 116, 118, 120, 122, 124, 126, 127, 130

Offset: 1

Reinhard Zumkeller, Jun 30 2004

nonn

a(n) occurs at most twice in A096605;
complement of A096603, a and A096603 are disjoint;
A096602(a(n)) = A096603(n).

A096605 a(n) = floor((floor(n/2) + a(floor(n/2)))/2), a(1) = 1.

Original entry on oeis.org

1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 11, 11, 11, 11, 12, 12, 13, 13, 13, 13, 14, 14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 19, 19, 19, 19, 20, 20, 21, 21, 21, 21, 22, 22, 23, 23, 23, 23, 24, 24, 25, 25, 25, 25

Offset: 1

Reinhard Zumkeller, Jun 30 2004

nonn

a(2*n+1)=a(2*n), A096607(n)=a(2*n);

for n>9: floor(n/a(n))=3; A096606(n)=A002264(n-1)-a(n).

Cf. A096603, A096603.

cp's OEIS Frontend

A096603 Numbers occurring twice in A096607.

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A096604 Numbers that appear at most once in A096607.

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A096605 a(n) = floor((floor(n/2) + a(floor(n/2)))/2), a(1) = 1.

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