A093873 -id:A093873 - cp's OEIS frontend

A123760 Numbers whose binary expansion is 1xy100...0 where x,y = 0 or 1.

9, 11, 13, 15, 18, 22, 26, 30, 36, 44, 52, 60, 72, 88, 104, 120, 144, 176, 208, 240, 288, 352, 416, 480, 576, 704, 832, 960, 1152, 1408, 1664, 1920, 2304, 2816, 3328, 3840, 4608, 5632, 6656, 7680, 9216, 11264, 13312, 15360, 18432, 22528, 26624

Offset: 1

Reinhard Zumkeller, Oct 13 2006

Amiram Eldar, Table of n, a(n) for n = 1..10000

Cf. A029744, A070875, A070876, A093873.

Union[Join @@ (Table[FromDigits[Join[#, Table[0, {n}]], 2], {n, 0, 11}] & /@ {{1, 0, 0, 1}, {1, 0, 1, 1}, {1, 1, 0, 1}, {1, 1, 1, 1}})] (* Amiram Eldar, Mar 28 2022 *)

a(n) = 2*a(n-4) for n > 4.
A093873(a(n)) = 3.
Sum_{n>=1} 1/a(n) = 4448/6435. - Amiram Eldar, Mar 28 2022

A095726 Location of records in denominators of Kepler's tree of harmonic fractions.

Original entry on oeis.org

1, 2, 4, 8, 10, 18, 22, 34, 36, 38, 42, 46, 70, 74, 78, 86, 94, 138, 142, 148, 150, 158, 174, 190, 278, 286, 298, 302, 318, 350, 382, 558, 574, 598, 606, 638, 702, 766, 1118, 1150, 1194, 1198, 1214, 1278, 1406, 1534, 2238, 2302, 2398, 2430, 2558, 2814, 3070, 4478

Offset: 1

John W. Layman, Jun 04 2004

nonn

See A095725 for location of numerators of Kepler's tree and A095728 for the first differences of this sequence.

Cf. A093873, A093875, A095725, A095728.

A095727 First differences of A095725 (records in numerators of Kepler's tree).

Original entry on oeis.org

4, 4, 8, 4, 16, 8, 24, 4, 4, 8, 8, 48, 8, 8, 16, 16, 88, 8, 12, 4, 16, 32, 32, 176, 16, 24, 8, 32, 64, 64, 352, 32, 48, 16, 64, 128, 128, 704, 64, 88, 8, 32, 128, 256, 256, 1408, 128, 192, 64, 256, 512, 512, 2816, 256, 352, 32, 128, 512, 1024, 1024, 5632, 512, 704, 64, 256

Offset: 1

John W. Layman, Jun 04 2004

nonn

Appears to be twice A095728.

Cf. A093873, A093875, A095725, A095728.

A095728 First differences of A095726 (records in denominators of Kepler's tree).

Original entry on oeis.org

1, 2, 4, 2, 8, 4, 12, 2, 2, 4, 4, 24, 4, 4, 8, 8, 44, 4, 6, 2, 8, 16, 16, 88, 8, 12, 4, 16, 32, 32, 176, 16, 24, 8, 32, 64, 64, 352, 32, 44, 4, 16, 64, 128, 128, 704, 64, 96, 32, 128, 256, 256, 1408, 128, 176, 16, 64, 256, 512, 512, 2816, 256, 352, 32, 128, 512, 1024, 1024

Offset: 1

John W. Layman, Jun 04 2004

nonn

Appears to be one-half A095727 (first difference of locations of records in numerators).

Cf. A093873, A095726, A095727.

cp's OEIS Frontend

A123760 Numbers whose binary expansion is 1xy100...0 where x,y = 0 or 1.

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A095726 Location of records in denominators of Kepler's tree of harmonic fractions.

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A095727 First differences of A095725 (records in numerators of Kepler's tree).

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A095728 First differences of A095726 (records in denominators of Kepler's tree).

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