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A035858
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Coordination sequence for A_32 lattice.
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0
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1, 1056, 279312, 33020768, 2216449224, 96447982752, 2962111270448, 68139802316256, 1226979622925364, 17893889175680672, 217162303201118352, 2242202047912186080, 20060152971318789560, 157926267134053719840
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OFFSET
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0,2
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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 (32, -496, 4960, -35960, 201376, -906192, 3365856, -10518300, 28048800, -64512240, 129024480, -225792840, 347373600, -471435600, 565722720, -601080390, 565722720, -471435600, 347373600, -225792840, 129024480, -64512240, 28048800, -10518300, 3365856, -906192, 201376, -35960, 4960, -496, 32, -1).
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FORMULA
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Sum_{d=1..32} C(33, d)*C(m/2-1, d-1)*C(32-d+m/2, m/2), where norm m is always even.
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CROSSREFS
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KEYWORD
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nonn,easy
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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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