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A022149
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Coordination sequence for root lattice B_7.
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3
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1, 98, 1946, 16394, 83442, 307314, 907018, 2282394, 5095650, 10368386, 19594106, 34866218, 59021522, 95799186, 150015210, 227752378, 336565698, 485703330, 686343002, 951843914, 1298014130, 1743393458
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OFFSET
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0,2
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REFERENCES
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R. Bacher, P. de la Harpe and B. Venkov, Series de croissance et series d'Ehrhart associees aux reseaux de racines, C. R. Acad. Sci. Paris, 325 (Series 1) (1997), 1137-1142.
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LINKS
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Table of n, a(n) for n=0..21.
Index to sequences with linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).
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FORMULA
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a(0) = 1; for n>0, a(n) = (968*n^6 - 1368*n^5 + 5420*n^4 - 4080*n^3 + 4232*n^2 - 852*n + 90)/45 . - Philippe Deléham, Feb 20 2004
G.f.: -(x^7+371*x^6+2793*x^5+6155*x^4+4795*x^3+1281*x^2+91*x+1)/(x-1)^7. - Colin Barker, Nov 18 2012
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CROSSREFS
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Sequence in context: A190636 A019563 A197616 * A128801 A188484 A178974
Adjacent sequences: A022146 A022147 A022148 * A022150 A022151 A022152
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KEYWORD
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nonn,easy
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AUTHOR
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mbaake(AT)sunelc3.tphys.physik.uni-tuebingen.de (Michael Baake)
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STATUS
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approved
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