A006728 Series for first parallel moment of square lattice. (Formerly M1840)

2, 8, 24, 62, 148, 330, 710, 1464, 2962, 5814, 11288, 21406, 40364, 74570, 137602, 249088, 451868, 804766, 1440580, 2529686, 4482584, 7775166, 13664146, 23446020, 40953840, 69518842, 120978656, 203223692, 352808860, 586473542, 1018405966, 1671890010, 2913173846, 4717224772, 8265261498, 13170191912, 23329646078, 36355510686, 65539706454, 99432015478, 183391807808, 268568296956, 513870876498, 714234719598, 1440359201368, 1874047502574, 4048390833688, 4791576314698, 11521319804730, 11801670105578, 33055165149064, 27869200356228, 96170461301080, 58847785748014, 288365269158218, 97008272891722, 876853221827434, 50270991328638, 2742424862540904, -723012645772984, 8945610206297122

Offset

0,1

References

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

I. Jensen, Table of n, a(n) for n = 0..170 (from link below)

I. G. Enting, A, J. Guttmann and I. Jensen, Low-Temperature Series Expansions for the Spin-1 Ising Model, arXiv:hep-lat/9410005, 1994; J. Phys. A. 27 (1994) 6987-7006.

J. W. Essam, A. J. Guttmann and K. De'Bell, On two-dimensional directed percolation, J. Phys. A 21 (1988), 3815-3832.

I. Jensen, More terms

Iwan Jensen, Anthony J. Guttmann, Series expansions of the percolation probability for directed square and honeycomb lattices, arXiv:cond-mat/9509121, 1995; J. Phys. A 28 (1995), no. 17, 4813-4833.

Crossrefs

Cf. A006727, A260330, A006729, A006730.

Sequence in context: A131064 A263598 A075218 * A234933 A222808 A075216

Adjacent sequences: A006725 A006726 A006727 * A006729 A006730 A006731

Keyword

sign,nice

Author

N. J. A. Sloane, Simon Plouffe

Status

approved