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A007181
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Expansion of critical exponent for walks on tetrahedral lattice.
(Formerly M0340)
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0
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2, 2, 4, 12, 30, 60, 154, 404, 1046, 2540, 6720, 17484, 46522, 120300, 323800, 856032, 2315578, 6151080, 16745530, 44921984, 122790698, 331148108, 908909558, 2465359580, 6788313198, 18491757632, 51067082988
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OFFSET
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1,1
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COMMENTS
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Using coordinates (x,y,z,t) such that x+y+z+t = 0 or 1, then the four neighbors of (x,y,z,t) are found by changing one coordinate by +- 1 (such that the sum of coordinates remains 0 or 1). This sequence gives the number of self-avoiding walks of length n starting from (0,0,0,0) such that t <= z for all points and t = z for the final point. - Sean A. Irvine, Nov 11 2017
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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CROSSREFS
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KEYWORD
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nonn,walk
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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