login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A006728 Series for first parallel moment of square lattice.
(Formerly M1840)
4
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

REFERENCES

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

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

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, J. Phys. A. 27 (1994) 6987-7006.

I. Jensen, More terms

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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 11 21:15 EST 2017. Contains 295919 sequences.