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.

Showing 1-3 of 3 results.

A183019 Conjectured list of multisociable numbers.

Original entry on oeis.org

6, 28, 120, 220, 284, 496, 672, 1184, 1210, 2620, 2924, 5020, 5564, 6232, 6368, 8128, 10744, 10856, 12285, 12496, 14264, 14288, 14536, 14595, 15472, 17296, 18416, 30240, 32760, 63020, 66928, 66992, 67095, 69615, 71145, 76084, 79750, 87633
Offset: 1

Views

Author

William Rex Marshall, Jan 08 2011

Keywords

Crossrefs

Cf. A000396, A001065, A007691, A063990, A122726, A183013, A183016, A183022, A183029.

A183023 Largest members of fully k-sociable cycles of order r.

Original entry on oeis.org

1, 6, 14, 28, 62, 120, 124, 189, 254, 496, 508, 672, 2032, 8128, 8184, 10540, 16382, 30240, 32760, 32764, 38080, 90272, 131056, 262142, 523776, 524224, 524284, 654080, 898560, 1048574, 1124352, 2097136, 2097148, 2178540, 2234232, 8388544
Offset: 1

Views

Author

William Rex Marshall, Jan 08 2011

Keywords

Comments

A fully k-sociable (or fully multisociable) cycle of order r consists of r distinct positive integers such that the sum of all the divisors of each is equal to k times the next term in the cycle, with k a fixed positive integer.
A183024(n) gives the multiplicity of the cycle with largest term a(n).
A183025(n) gives the order of the cycle with largest term a(n).
If examples of two or more fully multisociable cycles with the same largest term exist, the largest term is repeated in this sequence, and corresponding multiplicities listed in order of increasing size in A183024. (No such examples are known. Do any exist?)
a(8)=189 and a(78)=222339630960 are the largest terms of mixed parity cycles, and a(78) is the largest term of a fully 4-sociable cycle of order 34 (the longest known cycle).

Crossrefs

Cf. A000203, A000396, A007691, A183024 (multiplicities), A183025 (orders), A183029.

A183026 Conjectured list of smallest members of fully k-sociable cycles of order r.

Original entry on oeis.org

1, 6, 12, 28, 48, 112, 120, 160, 192, 448, 496, 672, 1984, 7560, 7680, 8128, 12288, 28672, 30240, 32760, 34944, 65520, 126976, 196608, 458752, 472416, 520192, 523776, 786432, 859320, 1100190, 1835008, 2031616, 2096640, 2178540, 8126464
Offset: 1

Views

Author

William Rex Marshall, Jan 08 2011

Keywords

Comments

A fully k-sociable (or fully multisociable) cycle of order r consists of r distinct positive integers such that the sum of all the divisors of each is equal to k times the next term in the cycle, with k a fixed positive integer.
A183027(n) gives the multiplicity of the cycle with smallest term a(n).
A183028(n) gives the order of the cycle with smallest term a(n).
If examples of two or more fully multisociable cycles with the same smallest term exist, the smallest term is repeated in this sequence, and corresponding multiplicities listed in order of increasing size in A183027. (No such examples are known. Do any exist?)

Crossrefs

Cf. A000203, A000396, A007691, A183027 (multiplicities), A183028 (orders), A183029.
Showing 1-3 of 3 results.

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

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