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.

A183013 Largest members of k-sociable cycles of order r.

Original entry on oeis.org

6, 28, 120, 284, 496, 672, 1210, 2924, 5564, 6368, 8128, 10856, 14595, 15472, 18416, 30240, 32760, 66992, 71145, 76084, 87663, 88730, 123152, 124155, 139815, 153176, 168730, 176336, 180848, 202444, 203432, 365084, 389924, 399592, 430402
Offset: 1

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Author

William Rex Marshall, Jan 08 2011

Keywords

Comments

A k-sociable (or multisociable) cycle of order r consists of r distinct positive integers such that the sum of the aliquot divisors (or proper divisors) of each is equal to k times the next term in the cycle, where k (the multiplicity) is a fixed positive integer.
A183014(n) gives the multiplicity of the cycle with largest term a(n).
A183015(n) gives the order of the cycle with largest term a(n).
If examples of two or more 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 A183014. (No such examples are known. Do any exist?)

Crossrefs

Cf. A000396, A001065, A002046, A007691, A183014 (multiplicities), A183015 (orders), A183019, A183020.

A183021 Smallest members of k-sociable cycles of order r, with k > 1 and r > 1.

Original entry on oeis.org

5974080, 12162100800, 90079209000, 555108915200
Offset: 1

Views

Author

William Rex Marshall, Jan 08 2011

Keywords

Comments

A k-sociable (or multisociable) cycle of order r consists of r distinct positive integers such that the sum of the aliquot divisors (or proper divisors) of each is equal to k times the next term in the cycle, where k (the multiplicity) is a fixed positive integer.
a(1), a(2) and a(4) are the smallest terms of 2-sociable cycles of order 3 (or bicrowds), and a(3) is the smaller term of a 3-sociable cycle of order 2 (or triamicable pair).
No other terms <= 10^12.

Crossrefs

Cf. A001065, A166069, A183016, A183020, A183022.

A183022 Multisociable numbers in cycles of order > 1 and multiplicity > 1.

Original entry on oeis.org

5974080, 7546128, 8132064, 12162100800, 13052008992, 14246719968, 90079209000, 97998179400, 555108915200, 574680043520, 582340505600
Offset: 1

Views

Author

William Rex Marshall, Jan 08 2011

Keywords

Comments

No other terms <= 10^12.

Crossrefs

Cf. A001065, A166069, A183019, A183020, A183021.
Showing 1-3 of 3 results.

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

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