A112389 -id:A112389 - cp's OEIS frontend

A123815 Number of ways to build a contiguous building with n LEGO blocks of size 1 X 8 on top of a fixed block of the same size so that the building is symmetric after a rotation by 180 degrees.

Original entry on oeis.org

1, 37, 73, 2995, 9235, 404559, 1360441

Offset: 1

Søren Eilers, Oct 29 2006

The base block is not counted among the n and must be the only block in the bottom layer of the building.

Cf. A112389, A123762 - A123827, A123829 - A123849.

A123816 Number of ways to build a contiguous building with n LEGO blocks of size 1 X 8 on top of a fixed block of the same size so that the building is flat, i.e., with all blocks in parallel position.

Original entry on oeis.org

15, 253, 5055, 106387, 2364993, 53883047, 1258407303, 29843705355

Offset: 1

Søren Eilers, Oct 29 2006

The base block is not counted among the n and must be the only block in the bottom layer of the building.

Cf. A112389, A123762 - A123827, A123829 - A123849.

A123817 Number of ways to build a contiguous building with n LEGO blocks of size 1 X 8 on top of a fixed block of the same size so that the building is flat, i.e., with all blocks in parallel position and symmetric after a rotation by 180 degrees.

Original entry on oeis.org

1, 5, 9, 51, 131, 807, 2129, 13967, 39701, 265152, 781478, 5287858, 16094282, 110147280, 342365511, 2360643691

Offset: 1

Søren Eilers, Oct 29 2006

nonn

The base block is not counted among the n and must be the only block in the bottom layer of the building.

Index entry for sequences related to LEGO blocks

Cf. A112389, A123762 - A123827, A123829 - A123849.

a(11)-a(16) from Søren Eilers, Sep 16 2018

A123818 Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 2 X 2.

Original entry on oeis.org

1, 3, 31, 412, 6435, 106108, 1825803, 32320892, 584956651, 10772558067, 201219520632

Offset: 1

Søren Eilers, Oct 29 2006

S. Eilers, The LEGO counting problem, Amer. Math. Mnthly, 123 (May 2016), 415-426.
Index entry for sequences related to LEGO blocks

Cf. A112389, A123762-A123827, A123829-A123849.

A123819 Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 2 X 2 which is symmetric after a rotation by 180 degrees.

Original entry on oeis.org

1, 1, 5, 8, 65, 126, 1023, 2187, 17585, 39606, 315326, 737302

Offset: 1

Søren Eilers, Oct 29 2006

nonn

Cf. A112389, A123762 - A123827, A123829 - A123849.

A123820 Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 2 X 2 which is symmetric after a rotation by 90 degrees.

Original entry on oeis.org

1, 1, 1, 1, 3, 4, 5, 10, 26, 38, 51, 121, 324, 488, 673, 1808

Offset: 1

Søren Eilers, Oct 29 2006

nonn

Cf. A112389, A123762 - A123827, A123829 - A123849.

A123821 Number of ways to build a contiguous building with n LEGO blocks of size 2 X 2 on top of a fixed block of the same size.

Original entry on oeis.org

9, 97, 1349, 20288, 329707, 5574248, 97506021, 1747201171, 31923371982, 592403479154

Offset: 1

Søren Eilers, Oct 29 2006

The base block is not counted among the n and must be the only block in the bottom layer of the building

Cf. A112389, A123762 - A123827, A123829 - A123849.

A123822 Number of ways to build a contiguous building with n LEGO blocks of size 2 X 2 on top of a fixed block of the same size so that the building is symmetric after a rotation by 180 degrees.

Original entry on oeis.org

1, 5, 9, 44, 111, 576, 1541, 8199, 23750, 127654, 384817, 2083235

Offset: 1

Søren Eilers, Oct 29 2006

nonn

The base block is not counted among the n and must be the only block in the bottom layer of the building

Cf. A112389, A123762 - A123827, A123829 - A123849.

A123823 Number of ways to build a contiguous building with n LEGO blocks of size 2 X 2 on top of a fixed block of the same size so that the building is symmetric after a rotation by 90 degrees.

Original entry on oeis.org

1, 1, 1, 2, 3, 4, 5, 11, 22, 34, 47, 113

Offset: 1

Søren Eilers, Oct 29 2006

nonn

The base block is not counted among the n and must be the only block in the bottom layer of the building.

Cf. A112389, A123762 - A123827, A123829 - A123849.

A123825 Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 2 X 3 which is symmetric after a rotation by 180 degrees.

Original entry on oeis.org

1, 1, 25, 53, 1189, 2947, 66094, 181955, 3979943

Offset: 1

Søren Eilers, Oct 29 2006

nonn

Cf. A112389, A123762 - A123827, A123829 - A123849.

cp's OEIS Frontend

A123815 Number of ways to build a contiguous building with n LEGO blocks of size 1 X 8 on top of a fixed block of the same size so that the building is symmetric after a rotation by 180 degrees.

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A123816 Number of ways to build a contiguous building with n LEGO blocks of size 1 X 8 on top of a fixed block of the same size so that the building is flat, i.e., with all blocks in parallel position.

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A123817 Number of ways to build a contiguous building with n LEGO blocks of size 1 X 8 on top of a fixed block of the same size so that the building is flat, i.e., with all blocks in parallel position and symmetric after a rotation by 180 degrees.

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A123818 Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 2 X 2.

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A123819 Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 2 X 2 which is symmetric after a rotation by 180 degrees.

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A123820 Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 2 X 2 which is symmetric after a rotation by 90 degrees.

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A123821 Number of ways to build a contiguous building with n LEGO blocks of size 2 X 2 on top of a fixed block of the same size.

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A123822 Number of ways to build a contiguous building with n LEGO blocks of size 2 X 2 on top of a fixed block of the same size so that the building is symmetric after a rotation by 180 degrees.

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A123823 Number of ways to build a contiguous building with n LEGO blocks of size 2 X 2 on top of a fixed block of the same size so that the building is symmetric after a rotation by 90 degrees.

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A123825 Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 2 X 3 which is symmetric after a rotation by 180 degrees.

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