A057405 -id:A057405 - cp's OEIS frontend

A057374 Low-temperature magnetization expansion for square lattice (Potts model, q=3).

1, 0, 0, 0, -3, 0, -12, -12, -36, -108, -210, -480, -1746, -2340, -10566, -19500, -53976, -152604, -329424, -971304, -2403291, -5955576, -16858584, -40337376, -110301321, -287061696, -730223208, -1985703720, -5070001716

Offset: 0

N. J. A. Sloane, Aug 29 2000

sign

I. Jensen, Table of n, a(n) for n = 0..71 (from link below)
I. Jensen, More terms

Cf. A057375-A057405.

A057375 Low-temperature susceptibility expansion for square lattice (Potts model, q=3).

Original entry on oeis.org

2, 0, 16, 16, 100, 216, 844, 1552, 7844, 12112, 60268, 118944, 424072, 1081392, 3201728, 8670688, 25713154, 67206560, 203077760, 532881432, 1558159918, 4250639632, 11956293152, 33296697848, 92820406096, 257249275776

Offset: 0

N. J. A. Sloane, Aug 29 2000

nonn

I. Jensen, Table of n, a(n) for n = 0..67 (from link below)
Ian G. Enting and Anthony J. Guttmann, Susceptibility amplitudes for the three- and four-state Potts models, Physica A, 321 (2003), 90-107.
I. Jensen, More terms

Cf. A057374-A057405.

A057378 Low-temperature magnetization expansion for square lattice (Potts model, q=4).

Original entry on oeis.org

1, 0, 0, 0, -4, 0, -16, -32, -28, -288, -400, -1024, -5268, -5920, -32160, -82720, -163020, -737568, -1482784, -4644992, -15095436, -33307648, -117747376, -312435552, -842726356, -2747491616, -7020371952, -21348043296

Offset: 0

N. J. A. Sloane, Aug 30 2000

sign

I. Jensen, Table of n, a(n) for n = 0..59 (from link below)
I. Jensen, More terms

Cf. A057374-A057405.

A057382 Low-temperature magnetization expansion for hexagonal lattice (Potts model, q=3).

Original entry on oeis.org

1, 0, 0, 0, 0, 0, -3, 0, 0, 0, -18, -18, 24, 0, -171, -162, 153, 252, -1704, -2106, 1998, 2586, -14364, -28098, 19008, 43020, -147024, -317304, 125775, 612954, -1370868, -3909528, 907209, 7487136, -11849868, -46762686, 252159

Offset: 0

N. J. A. Sloane, Aug 30 2000

sign

The hexagonal lattice is the familiar 2-dimensional lattice in which each point has 6 neighbors. This is sometimes called the triangular lattice.

I. Jensen, Table of n, a(n) for n = 0..69 (from link below)
I. Jensen, More terms
G. Nebe and N. J. A. Sloane, Home page for hexagonal (or triangular) lattice A2

Cf. A057374-A057405.

A057383 Low-temperature susceptibility expansion for hexagonal lattice (Potts model, q=3).

Original entry on oeis.org

2, 0, 0, 0, 24, 24, -20, 0, 366, 324, -42, -312, 4788, 6036, -1356, -1820, 54036, 99252, -3024, -53352, 686988, 1382336, 285870, -926172, 7988984, 19975392, 6245886, -12161464, 89970804, 273568968, 134393334, -181279824

Offset: 0

N. J. A. Sloane, Aug 30 2000

sign

The hexagonal lattice is the familiar 2-dimensional lattice in which each point has 6 neighbors. This is sometimes called the triangular lattice.

I. Jensen, Table of n, a(n) for n = 0..62 (from link below)
I. Jensen, More terms
G. Nebe and N. J. A. Sloane, Home page for hexagonal (or triangular) lattice A2

Cf. A057374-A057405.

A057387 Low-temperature susceptibility expansion for hexagonal lattice (Potts model, q=4).

Original entry on oeis.org

3, 0, 0, 0, 36, 72, -72, 0, 711, 1080, 144, -2556, 12852, 23004, -504, -21192, 122877, 525996, 69366, -531576, 1970154, 7833756, 6613164, -12953124, 24243261, 137623572, 130318974, -138059232, 115953372, 2338653528

Offset: 0

N. J. A. Sloane, Aug 30 2000

sign

The hexagonal lattice is the familiar 2-dimensional lattice in which each point has 6 neighbors. This is sometimes called the triangular lattice.

I. Jensen, Table of n, a(n) for n = 0..53 (from link below)
I. Jensen, More terms
G. Nebe and N. J. A. Sloane, Home page for hexagonal (or triangular) lattice A2

Cf. A057374-A057405.

A057390 Low-temperature magnetization expansion for honeycomb net (Potts model, q=3).

Original entry on oeis.org

1, 0, 0, -3, -9, -36, -123, -450, -1764, -6690, -26649, -104112, -421248, -1688337, -6888978, -28063296, -115459524, -475617330, -1970737233, -8184006855, -34118533647, -142565353488, -597406140090

Offset: 0

N. J. A. Sloane, Aug 30 2000

sign

I. Jensen, Table of n, a(n) for n = 0..35 (from link below)
I. Jensen, More terms

Cf. A057374-A057405.

A057391 Low-temperature susceptibility expansion for honeycomb net (Potts model, q=3).

Original entry on oeis.org

4, 24, 132, 672, 3192, 15996, 74396, 354936, 1639764, 7669876, 35282064, 162809928, 745459776, 3413032716, 15560103924, 70861321612, 321879751956, 1460223461700, 6612700085376, 29909912167920

Offset: 0

N. J. A. Sloane, Aug 30 2000

nonn

I. Jensen, Table of n, a(n) for n = 0..31 (from link below)
I. Jensen, More terms

Cf. A057374-A057405.

A057395 Low-temperature susceptibility expansion for honeycomb net (Potts model, q=4).

Original entry on oeis.org

6, 36, 234, 1284, 6804, 38160, 198912, 1070316, 5499054, 29005692, 149318838, 776570508, 3987307152, 20560750344, 105345948384, 540305120844, 2761471319562, 14111436147228, 71964766006350, 366780011157360

Offset: 0

N. J. A. Sloane, Aug 30 2000

nonn

I. Jensen, Table of n, a(n) for n = 0..27 (from link below)
I. Jensen, More terms

Cf. A057374-A057405.

A057398 Low-temperature magnetization expansion for Kagome net (Potts model, q=3).

Original entry on oeis.org

1, 0, 0, 0, -3, 0, -18, -12, -87, -120, -432, -840, -2883, -5208, -21378, -39876, -144507, -309456, -978888, -2349828, -6995931, -17727576, -52099902, -133195908, -389599548, -1010029956, -2921670744, -7740553548

Offset: 0

N. J. A. Sloane, Aug 30 2000

sign

I. Jensen, Table of n, a(n) for n = 0..67 (from link below)
I. Jensen, More terms

Cf. A057374-A057405.

cp's OEIS Frontend

A057374 Low-temperature magnetization expansion for square lattice (Potts model, q=3).

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A057375 Low-temperature susceptibility expansion for square lattice (Potts model, q=3).

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A057378 Low-temperature magnetization expansion for square lattice (Potts model, q=4).

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A057382 Low-temperature magnetization expansion for hexagonal lattice (Potts model, q=3).

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A057383 Low-temperature susceptibility expansion for hexagonal lattice (Potts model, q=3).

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A057387 Low-temperature susceptibility expansion for hexagonal lattice (Potts model, q=4).

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A057390 Low-temperature magnetization expansion for honeycomb net (Potts model, q=3).

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A057391 Low-temperature susceptibility expansion for honeycomb net (Potts model, q=3).

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A057395 Low-temperature susceptibility expansion for honeycomb net (Potts model, q=4).

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A057398 Low-temperature magnetization expansion for Kagome net (Potts model, q=3).

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