A123829 -id:A123829 - cp's OEIS frontend

A123827 Number of ways to build a contiguous building with n LEGO blocks of size 2 X 3 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, 13, 25, 352, 1006, 15510, 46928, 744211, 2479362

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.

Index entry for sequences related to LEGO blocks

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

A123824 Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 2 X 3.

Original entry on oeis.org

1, 16, 697, 34958, 1947321, 114675898, 7026150623, 443114008903, 28575438072945, 1875587744568411

Offset: 1

Søren Eilers, Oct 29 2006

Matthias Simon, Program to compute a(1)...a(10)

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

a(9) from Matthias Simon, Aug 29 2020

a(10) from Matthias Simon, Nov 15 2020

A123770 Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 1 X 3.

Original entry on oeis.org

1, 8, 152, 3594, 96105, 2734356, 81126946, 2480378897, 77597683206, 2472038270424

Offset: 1

Søren Eilers, Oct 29 2006

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

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

A123771 Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 1 X 3 which is symmetric after a rotation by 180 degrees.

Original entry on oeis.org

1, 2, 12, 45, 264, 1128, 6991, 32202, 202856, 973242, 6204349

Offset: 1

Søren Eilers, Oct 29 2006

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

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

A123772 Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 1 X 3 which is flat, i.e., with all blocks in parallel position.

Original entry on oeis.org

1, 3, 17, 107, 761, 5607, 42730, 331851, 2618024, 20895964, 168398683, 1367838390, 11184711448, 91976811135

Offset: 1

Søren Eilers, Oct 29 2006

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

A123773 Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 1 X 3 which is flat, i.e., with all blocks in parallel position and symmetric after a rotation by 180 degrees.

Original entry on oeis.org

1, 1, 3, 4, 16, 24, 103, 163, 721, 1173, 5283, 8783, 39912, 67381, 308314, 526553, 2421040, 4172834, 19257309, 33438244, 154761065, 270372085

Offset: 1

Søren Eilers, Oct 29 2006

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

More terms by Søren Eilers, Sep 12 2018

A123774 Number of ways to build a contiguous building with n LEGO blocks of size 1 X 3 on top of a fixed block of the same size.

Original entry on oeis.org

14, 244, 5762, 147801, 4117161, 119893930, 3616711327, 111950012510, 3536272532516

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.

A123775 Number of ways to build a contiguous building with n LEGO blocks of size 1 X 3 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

2, 8, 24, 115, 451, 2474, 10377, 60048, 268402, 1600292, 7416480

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.

A123776 Number of ways to build a contiguous building with n LEGO blocks of size 1 X 3 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

5, 28, 185, 1287, 9456, 71167, 549076, 4300975, 34154107, 273998400, 2217436152, 18074303774, 148232462372

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.

A123777 Number of ways to build a contiguous building with n LEGO blocks of size 1 X 3 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, 2, 3, 7, 14, 37, 76, 217, 473, 1374, 3104, 9196, 21240, 63929, 150294, 456703, 1089683, 3338624, 8055267, 24845592, 60511113, 187665038, 460638240

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.

a(16)-a(23) from Søren Eilers, Sep 16 2018

cp's OEIS Frontend

A123827 Number of ways to build a contiguous building with n LEGO blocks of size 2 X 3 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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A123824 Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 2 X 3.

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A123770 Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 1 X 3.

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A123771 Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 1 X 3 which is symmetric after a rotation by 180 degrees.

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A123772 Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 1 X 3 which is flat, i.e., with all blocks in parallel position.

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A123773 Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 1 X 3 which is flat, i.e., with all blocks in parallel position and symmetric after a rotation by 180 degrees.

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A123774 Number of ways to build a contiguous building with n LEGO blocks of size 1 X 3 on top of a fixed block of the same size.

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A123775 Number of ways to build a contiguous building with n LEGO blocks of size 1 X 3 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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A123776 Number of ways to build a contiguous building with n LEGO blocks of size 1 X 3 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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A123777 Number of ways to build a contiguous building with n LEGO blocks of size 1 X 3 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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