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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A330399 Number of possible permutations of a Pyramorphix of size n.

Original entry on oeis.org

1, 136080, 5062877383753728000
Offset: 1

Views

Author

Eder Vanzei, Feb 25 2020

Keywords

Comments

Pyramorphix (must not be confused with Pyraminx) is a tetrahedral edge-turning puzzle, capable of changing shape.

Links

Crossrefs

Cf. A075152, A309109, A309110, A309111, A309112, A309113.

A338883 Orders of elements of the Rubik's Cube group.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 18, 20, 21, 22, 24, 28, 30, 33, 35, 36, 40, 42, 44, 45, 48, 55, 56, 60, 63, 66, 70, 72, 77, 80, 84, 90, 99, 105, 110, 112, 120, 126, 132, 140, 144, 154, 165, 168, 180, 198, 210, 231, 240, 252, 280, 315, 330, 336, 360, 420, 462, 495, 504, 630, 720, 840, 990, 1260
Offset: 1

Views

Author

Ben Whitmore, Nov 13 2020

Keywords

Comments

The Rubik's Cube group G is a subgroup of the symmetric group S_48 of order |G| = 43252003274489856000 = 2^27 * 3^14 * 5^3 * 7^2 * 11, generated by the six face twists of the cube. The elements of G have 73 distinct orders. The exponent of G, given by the least common multiple of the orders of the elements, is 55440.

Examples

			10 is in the sequence because the algorithm U R U' F2 (in Singmaster notation) has order 10.
13 is not in the sequence because 13 is a prime not dividing the order of the group.

Links

  • Jaap's Puzzle Page, Order of elements, Cubic Circular, Issue 3 & 4, Spring & Summer 1982, p 34.

Crossrefs

Cf. A075152, A330389.
Number of elements of order a(n): A339122.

A173896 Exponents in the prime factorization of 43252003274489856000, the number of possible moves for a 3 X 3 X 3 Rubik's Cube: 2^27 * 3^14 * 5^3 * 7^2 * 11^1.

Original entry on oeis.org

27, 14, 3, 2, 1
Offset: 1

Views

Author

Michael Moseley (nzmose(AT)q.com), Mar 01 2010

Keywords

Crossrefs

Cf. A075152.

Programs

  • Mathematica
    FactorInteger[43252003274489856000][[All,2]] (* Harvey P. Dale, Apr 11 2021 *)

Extensions

Edited by N. J. A. Sloane, May 16 2010
Previous Showing 21-23 of 23 results.

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

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