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A035473
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Coordination sequence for lattice D*_8 (with edges defined by l_1 norm = 1).
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0
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1, 16, 128, 688, 3072, 11472, 36224, 99184, 241664, 535440, 1097344, 2107952, 3834880, 6661200, 11119488, 17932016, 28057600, 42745616, 63597696, 92637616, 132389888, 185967568, 257169792, 350589552
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history;
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OFFSET
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0,2
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REFERENCES
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J. Serra-Sagrista, Enumeration of lattice points in l_1 norm, Information Processing Letters, 76, no. 1-2 (2000), 39-44.
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LINKS
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Table of n, a(n) for n=0..23.
Index to sequences with linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).
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FORMULA
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a(m)=add(2^k*binomial(n, k)*binomial(m-1, k-1), k=0..n)+2^n*binomial((n+2*m)/2-1, n-1); with n=8.
G.f.: (x^8+8*x^7+28*x^6+56*x^5+326*x^4+56*x^3+28*x^2+8*x+1) / (x-1)^8. [Colin Barker, Nov 19 2012]
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CROSSREFS
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Sequence in context: A008535 A008416 A045651 * A014972 A115977 A128692
Adjacent sequences: A035470 A035471 A035472 * A035474 A035475 A035476
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane, J. Serra-Sagrista (jserra(AT)ccd.uab.es)
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STATUS
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approved
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