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A035808
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Coordination sequence for lattice D*_46 (with edges defined by l_1 norm = 1).
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0
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1, 92, 4232, 129812, 2987792, 55053260, 846141848, 11160045188, 128975126048, 1327092434748, 12312430500520, 104062494360052, 808072815510832, 5806722035765932, 38851092934042552, 243319195759791460, 1433080081936088128
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OFFSET
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0,2
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COMMENTS
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (46, -1035, 15180, -163185, 1370754, -9366819, 53524680, -260932815, 1101716330, -4076350421, 13340783196, -38910617655, 101766230790, -239877544005, 511738760544, -991493848554, 1749695026860, -2818953098830, 4154246671960, -5608233007146, 6943526580276, -7890371113950, 8233430727600, -7890371113950, 6943526580276, -5608233007146, 4154246671960, -2818953098830, 1749695026860, -991493848554, 511738760544, -239877544005, 101766230790, -38910617655, 13340783196, -4076350421, 1101716330, -260932815, 53524680, -9366819, 1370754, -163185, 15180, -1035, 46, -1).
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FORMULA
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a(m) = (Sum_{k=0..n} 2^k*binomial(n, k)*binomial(m-1, k-1)) + 2^n*binomial((n+2*m)/2-1, n-1); with n=46.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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