A080601 -id:A080601 - cp's OEIS frontend

A080624 Consider 3 X 3 X 3 Rubik cube, but only allow the double slice group to act; sequence gives number of positions that are exactly n moves from the start.

1, 9, 51, 247, 428, 32

Offset: 0

N. J. A. Sloane, Feb 26 2003

Not every position can be reached using this restricted set of moves. Total number of positions that can be reached = 768.

Mark Longridge, posting to Cube Lovers List, Apr 14 1995.

Alan Bawden, Cube Lovers Archive, Part 15
Mark Longridge, God's Algorithm Calculations for Rubik's Cube...

Cf. A080601, A080614, etc.

A080625 Consider 3 X 3 X 3 Rubik cube, but only allow the anti-slice group to act; sequence gives number of positions that are exactly n moves from the start, up to equivalence under the full group of order 48 of the cube.

Original entry on oeis.org

1, 1, 3, 10, 37, 93, 166, 147, 89, 21

Offset: 0

N. J. A. Sloane, Feb 26 2003

Not every position can be reached using this restricted set of moves. Number of inequivalent positions that can be reached = 568. This is for 2q moves.

Jerry Bryan, posting to Cube Lovers List, May 19 1995 and May 21 1995.

Alan Bawden, Cube Lovers Archive, Part 15
Alan Bawden, Cube Lovers Archive, Part 16
Mark Longridge, God's Algorithm Calculations for Rubik's Cube...

Cf. A080601, A080614, etc.

A080626 Consider 3 X 3 X 3 Rubik cube, but only allow the double anti-slice group to act; sequence gives number of positions that are exactly n moves from the start, up to equivalence under the full group of order 48 of the cube.

Original entry on oeis.org

1, 2, 5, 25, 75, 152, 184, 108, 16

Offset: 0

N. J. A. Sloane, Feb 26 2003

Not every position can be reached using this restricted set of moves. Number of inequivalent positions that can be reached = 568.

Jerry Bryan, posting to Cube Lovers List, May 19 1995 and May 21 1995.

Alan Bawden, Cube Lovers Archive, Part 15
Alan Bawden, Cube Lovers Archive, Part 16
Mark Longridge, God's Algorithm Calculations for Rubik's Cube...

Cf. A080601, A080614, etc.

A080627 Consider 3 X 3 X 3 Rubik cube, but only allow the squares group to act; sequence gives number of positions that are exactly n moves from the start.

Original entry on oeis.org

1, 6, 27, 120, 519, 1932, 6484, 20310, 55034, 113892, 178495, 179196, 89728, 16176, 1488, 144

Offset: 0

N. J. A. Sloane, Feb 26 2003

Not every position can be reached using this restricted set of moves. Number of positions that can be reached = 663552.

Mark Longridge, God's Algorithm Calculations for Rubik's Cube...

Cf. A080601, A080614, etc.

A080628 Consider 3 X 3 X 3 Rubik cube, but only allow the group to act; sequence gives number of positions that are exactly n moves from the start.

Original entry on oeis.org

1, 4, 10, 24, 58, 140, 338, 816, 1970, 4756, 11448, 27448, 65260, 154192, 360692, 827540, 1851345, 3968840, 7891990, 13659821, 18471682, 16586822, 8039455, 1511110, 47351, 87

Offset: 0

N. J. A. Sloane, Feb 26 2003

Not every position can be reached using this restricted set of moves. Number of positions that can be reached = 73483200.

Mark Longridge, God's Algorithm Calculations for Rubik's Cube...

Cf. A080601, A080614, etc.

A080631 Consider 3 X 3 X 3 Rubik cube, but consider only positions of edges; sequence gives number of positions that are exactly n moves from the start up to equivalence under the full group of order 48 of the cube.

Original entry on oeis.org

1, 1, 5, 25, 215, 1860, 16481, 144334, 1242992, 10324847, 76993295, 371975385, 382690120, 8235392, 54, 1

Offset: 0

N. J. A. Sloane, Feb 26 2003

Total number of inequivalent positions = 851625008. This count is "without centers".

Mark Longridge, God's Algorithm Calculations for Rubik's Cube...

Cf. A080601, A080614, etc.

A080632 Consider 3 X 3 X 3 Rubik cube, but consider only positions of edges; sequence gives number of positions that are exactly n moves from the start up to equivalence under the full group of order 48 of the cube.

Original entry on oeis.org

1, 1, 5, 25, 215, 1886, 16902, 150442, 1326326, 11505339, 96755918, 750089528

Offset: 0

N. J. A. Sloane, Feb 26 2003

Total number of inequivalent positions = 851625008. This count is "with centers".

Mark Longridge, God's Algorithm Calculations for Rubik's Cube...

Cf. A080601, A080614, etc.

cp's OEIS Frontend

A080624 Consider 3 X 3 X 3 Rubik cube, but only allow the double slice group to act; sequence gives number of positions that are exactly n moves from the start.

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A080625 Consider 3 X 3 X 3 Rubik cube, but only allow the anti-slice group to act; sequence gives number of positions that are exactly n moves from the start, up to equivalence under the full group of order 48 of the cube.

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A080626 Consider 3 X 3 X 3 Rubik cube, but only allow the double anti-slice group to act; sequence gives number of positions that are exactly n moves from the start, up to equivalence under the full group of order 48 of the cube.

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Author

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A080627 Consider 3 X 3 X 3 Rubik cube, but only allow the squares group to act; sequence gives number of positions that are exactly n moves from the start.

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Author

Keywords

Comments

Links

Crossrefs

A080628 Consider 3 X 3 X 3 Rubik cube, but only allow the group to act; sequence gives number of positions that are exactly n moves from the start.

Views

Author

Keywords

Comments

Links

Crossrefs

A080631 Consider 3 X 3 X 3 Rubik cube, but consider only positions of edges; sequence gives number of positions that are exactly n moves from the start up to equivalence under the full group of order 48 of the cube.

Views

Author

Keywords

Comments

Links

Crossrefs

A080632 Consider 3 X 3 X 3 Rubik cube, but consider only positions of edges; sequence gives number of positions that are exactly n moves from the start up to equivalence under the full group of order 48 of the cube.

Views

Author

Keywords

Comments

Links

Crossrefs