A250120 -id:A250120 - cp's OEIS frontend

A310028 Coordination sequence Gal.5.40.2 where Gal.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings.

1, 3, 5, 8, 11, 14, 18, 21, 23, 25, 28, 32, 34, 35, 40, 45, 47, 50, 53, 56, 59, 61, 64, 68, 70, 74, 79, 81, 83, 84, 88, 92, 93, 95, 99, 104, 108, 110, 112, 115, 117, 120, 123, 126, 128, 133, 138, 141, 143, 143

Offset: 0

Brian Galebach and N. J. A. Sloane, Jun 18 2018

nonn

Note that there may be other vertices in the Galebach list of u-uniform tilings with u <= 6 that have this same coordination sequence. See the Galebach link for the complete list of A-numbers for all these tilings.

Brian Galebach, k-uniform tilings (k <= 6) and their A-numbers

A310029 Coordination sequence Gal.6.94.2 where Gal.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings.

Original entry on oeis.org

1, 3, 5, 8, 12, 15, 19, 22, 25, 27, 29, 35, 36, 37, 43, 50, 52, 51, 55, 64, 63, 61, 71, 74, 75, 79, 86, 88, 83, 89, 101, 96, 93, 107, 112, 111, 111, 119, 125, 117, 121, 136, 132, 129, 143, 148, 146, 143, 153, 162

Offset: 0

Brian Galebach and N. J. A. Sloane, Jun 18 2018

nonn

Note that there may be other vertices in the Galebach list of u-uniform tilings with u <= 6 that have this same coordination sequence. See the Galebach link for the complete list of A-numbers for all these tilings.

Brian Galebach, k-uniform tilings (k <= 6) and their A-numbers

A310030 Coordination sequence Gal.6.92.2 where Gal.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings.

Original entry on oeis.org

1, 3, 5, 8, 12, 15, 19, 22, 25, 27, 29, 35, 36, 37, 45, 50, 50, 53, 57, 62, 61, 63, 71, 72, 75, 81, 85, 86, 86, 90, 98, 95, 96, 107, 110, 111, 114, 119, 122, 119, 123, 133, 130, 132, 143, 145, 146, 147, 152, 158

Offset: 0

Brian Galebach and N. J. A. Sloane, Jun 18 2018

nonn

Note that there may be other vertices in the Galebach list of u-uniform tilings with u <= 6 that have this same coordination sequence. See the Galebach link for the complete list of A-numbers for all these tilings.

Brian Galebach, k-uniform tilings (k <= 6) and their A-numbers

A310031 Coordination sequence Gal.5.39.1 where Gal.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings.

Original entry on oeis.org

1, 3, 5, 8, 12, 16, 19, 20, 21, 24, 28, 32, 36, 39, 40, 41, 44, 49, 55, 58, 57, 57, 60, 65, 71, 75, 76, 76, 77, 81, 88, 94, 95, 93, 93, 97, 104, 110, 112, 112, 112, 114, 120, 127, 131, 131, 129, 130, 136, 143

Offset: 0

Brian Galebach and N. J. A. Sloane, Jun 18 2018

nonn

Note that there may be other vertices in the Galebach list of u-uniform tilings with u <= 6 that have this same coordination sequence. See the Galebach link for the complete list of A-numbers for all these tilings.

Brian Galebach, k-uniform tilings (k <= 6) and their A-numbers

Conjectures from Chai Wah Wu, Dec 10 2018: (Start)
a(n) = a(n-1) - a(n-2) + a(n-3) - a(n-4) + a(n-5) + a(n-13) - a(n-14) + a(n-15) - a(n-16) + a(n-17) - a(n-18) for n > 18.
G.f.: (x^18 + 2*x^17 + 3*x^16 + 5*x^15 + 7*x^14 + 9*x^13 + 9*x^12 + 8*x^11 + 8*x^10 + 8*x^9 + 8*x^8 + 8*x^7 + 9*x^6 + 9*x^5 + 7*x^4 + 5*x^3 + 3*x^2 + 2*x + 1)/(x^18 - x^17 + x^16 - x^15 + x^14 - x^13 - x^5 + x^4 - x^3 + x^2 - x + 1). (End)

A310032 Coordination sequence Gal.4.28.1 where Gal.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings.

Original entry on oeis.org

1, 3, 5, 8, 12, 16, 19, 21, 23, 25, 28, 32, 36, 40, 44, 47, 48, 49, 51, 53, 57, 63, 68, 71, 73, 75, 76, 77, 80, 84, 89, 95, 99, 100, 101, 103, 104, 106, 111, 116, 120, 124, 127, 128, 129, 132, 135, 138, 143, 147

Offset: 0

Brian Galebach and N. J. A. Sloane, Jun 18 2018

nonn

Note that there may be other vertices in the Galebach list of u-uniform tilings with u <= 6 that have this same coordination sequence. See the Galebach link for the complete list of A-numbers for all these tilings.

Brian Galebach, k-uniform tilings (k <= 6) and their A-numbers

A310033 Coordination sequence Gal.4.29.1 where Gal.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings.

Original entry on oeis.org

1, 3, 5, 8, 12, 16, 19, 21, 23, 25, 28, 32, 37, 42, 45, 48, 50, 51, 52, 54, 60, 67, 73, 75, 75, 77, 79, 80, 80, 85, 96, 105, 106, 102, 103, 108, 109, 107, 111, 125, 137, 137, 130, 129, 135, 137, 134, 137, 153, 168

Offset: 0

Brian Galebach and N. J. A. Sloane, Jun 18 2018

nonn

Note that there may be other vertices in the Galebach list of u-uniform tilings with u <= 6 that have this same coordination sequence. See the Galebach link for the complete list of A-numbers for all these tilings.

Brian Galebach, k-uniform tilings (k <= 6) and their A-numbers

A310034 Coordination sequence Gal.6.90.1 where Gal.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings.

Original entry on oeis.org

1, 3, 5, 8, 12, 17, 22, 24, 24, 24, 26, 32, 39, 43, 44, 45, 48, 51, 53, 56, 61, 68, 73, 73, 72, 72, 74, 80, 87, 92, 95, 96, 97, 99, 101, 104, 109, 116, 122, 124, 123, 121, 122, 128, 135, 140, 143, 145, 148, 150

Offset: 0

Brian Galebach and N. J. A. Sloane, Jun 18 2018

nonn

Note that there may be other vertices in the Galebach list of u-uniform tilings with u <= 6 that have this same coordination sequence. See the Galebach link for the complete list of A-numbers for all these tilings.

Brian Galebach, k-uniform tilings (k <= 6) and their A-numbers

A310035 Coordination sequence Gal.5.37.1 where Gal.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings.

Original entry on oeis.org

1, 3, 5, 8, 13, 18, 21, 22, 24, 27, 30, 35, 40, 46, 51, 53, 52, 53, 56, 58, 67, 76, 80, 80, 80, 82, 83, 84, 87, 99, 111, 114, 110, 107, 111, 114, 113, 117, 133, 146, 145, 138, 136, 140, 142, 143, 150, 167, 179, 175

Offset: 0

Brian Galebach and N. J. A. Sloane, Jun 18 2018

nonn

Note that there may be other vertices in the Galebach list of u-uniform tilings with u <= 6 that have this same coordination sequence. See the Galebach link for the complete list of A-numbers for all these tilings.

Brian Galebach, k-uniform tilings (k <= 6) and their A-numbers

A310036 Coordination sequence Gal.5.38.1 where Gal.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings.

Original entry on oeis.org

1, 3, 5, 8, 13, 18, 21, 22, 24, 27, 30, 35, 42, 48, 49, 51, 54, 55, 54, 56, 67, 78, 82, 78, 77, 83, 86, 83, 84, 99, 115, 116, 107, 105, 113, 116, 111, 114, 133, 150, 147, 134, 133, 143, 145, 140, 147, 169, 183, 176

Offset: 0

Brian Galebach and N. J. A. Sloane, Jun 18 2018

nonn

Note that there may be other vertices in the Galebach list of u-uniform tilings with u <= 6 that have this same coordination sequence. See the Galebach link for the complete list of A-numbers for all these tilings.

Brian Galebach, k-uniform tilings (k <= 6) and their A-numbers

A310037 Coordination sequence Gal.5.43.4 where Gal.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings.

Original entry on oeis.org

1, 3, 5, 8, 13, 19, 20, 17, 19, 30, 37, 33, 34, 41, 43, 44, 49, 57, 58, 53, 57, 68, 71, 69, 72, 79, 81, 80, 87, 93, 92, 91, 95, 104, 109, 107, 110, 115, 115, 118, 123, 129, 132, 129, 131, 140, 145, 145, 146, 151

Offset: 0

Brian Galebach and N. J. A. Sloane, Jun 18 2018

nonn

Note that there may be other vertices in the Galebach list of u-uniform tilings with u <= 6 that have this same coordination sequence. See the Galebach link for the complete list of A-numbers for all these tilings.

Brian Galebach, k-uniform tilings (k <= 6) and their A-numbers

cp's OEIS Frontend

A310028 Coordination sequence Gal.5.40.2 where Gal.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings.

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A310029 Coordination sequence Gal.6.94.2 where Gal.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings.

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A310030 Coordination sequence Gal.6.92.2 where Gal.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings.

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A310031 Coordination sequence Gal.5.39.1 where Gal.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings.

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A310032 Coordination sequence Gal.4.28.1 where Gal.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings.

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A310033 Coordination sequence Gal.4.29.1 where Gal.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings.

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A310034 Coordination sequence Gal.6.90.1 where Gal.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings.

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A310035 Coordination sequence Gal.5.37.1 where Gal.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings.

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A310036 Coordination sequence Gal.5.38.1 where Gal.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings.

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Author

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A310037 Coordination sequence Gal.5.43.4 where Gal.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings.

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