cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A333549 Consider the list (A333552) of numbers m defined by property that when the Recamán term A005132(m) is being computed, we are unable to subtract m from A005132(m-1) because, although A003132(m-1) >= m, the result of the subtraction, A005132(m-1)-m, is already in A005132; sequence gives the successive values of A005132(m-1)-m.

Original entry on oeis.org

0, 1, 6, 3, 0, 7, 24, 21, 13, 45, 42, 0, 25, 90, 87, 84, 81, 78, 63, 163, 160, 157, 154, 39, 151, 264, 261, 17, 14, 11, 8, 3, 135, 114, 285, 282, 279, 276, 273, 270, 81, 78, 265, 453, 63, 46, 269, 266, 263, 260, 257, 18, 15, 12, 9, 6, 3, 0, 228, 514, 511, 508, 505, 502, 499, 496, 493, 490, 164, 502, 499, 496
Offset: 1

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Author

N. J. A. Sloane, May 02 2020

Keywords

Comments

These are the collisions that are avoided when A005132 is being constructed.

Examples

			After we have found A005132(6)=13, we attempt to subtract 7 from 13 to get a(7). However, this would give 6, which is a collision, since we already have A005132(3)=6. So 6 gets added to the current sequence.

Links

Crossrefs

Cf. A005132, A333552.
For records see A333550, A333551.

A333551 Indices of records in A333549.

Original entry on oeis.org

1, 2, 3, 6, 7, 10, 14, 20, 26, 35, 44, 60, 108, 115, 124, 196, 209, 231, 269, 290, 352, 446, 522, 646, 710, 835, 938, 958, 1118, 1178, 1517, 1670, 1794, 2061, 2305, 2464, 2641, 3047, 3196, 3267, 3438, 3683, 3816, 3889, 4070, 4312, 4585, 4727, 4787, 4796, 4797, 11471, 13826, 14707, 14992, 16606, 17076
Offset: 1

Views

Author

N. J. A. Sloane, May 03 2020

Keywords

Links

Crossrefs

Cf. A005132, A333549, A333550.

A333553 a(n) = A333552(A333551(n)): indices of terms in Recamán's sequence A005132 where the construction avoided a record-sized collision.

Original entry on oeis.org

3, 6, 7, 18, 19, 34, 67, 102, 115, 173, 190, 288, 453, 511, 677, 846, 986, 1230, 1305, 1349, 1715, 2066, 2422, 2870, 3870, 4139, 4599, 4649, 5027, 5899, 7676, 8220, 8742, 9558, 11542, 13144, 13511, 15541, 16001, 16281, 16685, 17199, 18279, 19463, 21267, 23375, 23976, 24260, 24381, 24398, 24399, 55506, 68108, 75688
Offset: 1

Views

Author

N. J. A. Sloane, May 03 2020, following a suggestion from Paul Zimmermann

Keywords

Examples

			After we have found A005132(6)=13, we attempt to subtract 7 from 13 to get a(7). However, this would give 6, which is a collision, since we already have A005132(3)=6. Furthermore, 6 is larger than any collision we have so far avoided. So 7 (the index of the term of A005132 that we were constructing), gets added to the current sequence (it is a(3)).

Links

Crossrefs

Cf. A005132, A333548, A333549, A333550, A333551, A333552.
Showing 1-3 of 3 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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