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A035889
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Coordination sequence for diamond structure D^+_26. (Edges defined by l_1 norm = 1.)
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1
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1, 0, 1352, 0, 305552, 0, 27866072, 0, 1381251872, 0, 43450388072, 0, 955155127472, 33554432, 15676941638904, 11777605632, 201710366471744, 796951314432, 2112804738688904, 24705490747392, 18563618015178704
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OFFSET
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0,3
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LINKS
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J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (pdf).
Index entries for linear recurrences with constant coefficients, signature (0, 26, 0, -325, 0, 2600, 0, -14950, 0, 65780, 0, -230230, 0, 657800, 0, -1562275, 0, 3124550, 0, -5311735, 0, 7726160, 0, -9657700, 0, 10400600, 0, -9657700, 0, 7726160, 0, -5311735, 0, 3124550, 0, -1562275, 0, 657800, 0, -230230, 0, 65780, 0, -14950, 0, 2600, 0, -325, 0, 26, 0, -1).
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MAPLE
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f := proc(m) local k, t1; t1 := 2^(n-1)*binomial((n+2*m)/2-1, n-1); if m mod 2 = 0 then t1 := t1+add(2^k*binomial(n, k)*binomial(m-1, k-1), k=0..n); fi; t1; end; where n=26.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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Joan Serra-Sagrista (jserra(AT)ccd.uab.es)
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EXTENSIONS
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STATUS
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approved
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