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A045651
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L1-coordination sequence for E_8 lattice in Construction A version of the lattice.
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1
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1, 16, 128, 688, 2944, 10448, 31616, 83824, 199424, 434064, 877696, 1668656, 3011200, 5196880, 8630144, 13858544, 21607936, 32823056, 48713856, 70807984, 101009792, 141666256, 195640192, 266391152, 358064384, 475588240, 624780416, 812463408, 1046589568
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OFFSET
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0,2
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LINKS
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FORMULA
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[ Sum_{i=1..min(8, n)} 2^8 * C(8, i) * C(n-1, i-1) ] + [ 2^(8-1)*C((((8+2n)/2)-1), 8-1) ].
G.f.: (x^8 + 8*x^7 + 28*x^6 + 56*x^5 + 198*x^4 + 56*x^3 + 28*x^2 + 8*x + 1) / (x-1)^8. - Colin Barker, Mar 04 2015
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PROG
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(PARI) Vec((x^8+8*x^7+28*x^6+56*x^5+198*x^4+56*x^3+28*x^2+8*x+1)/(x-1)^8 + O(x^100)) \\ Colin Barker, Mar 04 2015
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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Joan Serra-Sagrista (jserra(AT)ccd.uab.es)
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STATUS
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approved
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