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A082942
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(n^2+1)*(4*n^2+1)*(4*n^2+3).
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2
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3, 70, 1615, 14430, 74035, 270478, 788655, 1960150, 4326595, 8714550, 16321903, 28815790, 48442035, 78146110, 121705615, 183874278, 270537475, 388879270, 547560975, 756911230, 1029127603, 1378489710, 1821583855, 2377539190, 3068275395, 3918761878, 4957288495
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OFFSET
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0,1
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COMMENTS
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Volume of fundamental region for a sequence of 3-D lattices that converges to the FCC lattice.
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..1000
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FORMULA
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G.f.: (3+49*x+1188*x^2+4490*x^3+4595*x^4+1125*x^5+70*x^6)/(1-x)^7. - Bruno Berselli, Mar 23 2012
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MATHEMATICA
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Table[(n^2+1)(4n^2+1)(4n^2+3), {n, 0, 30}] (* Harvey P. Dale, Mar 22 2012 *)
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CROSSREFS
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Cf. A083196.
Sequence in context: A316737 A061173 A156598 * A000282 A322775 A277413
Adjacent sequences: A082939 A082940 A082941 * A082943 A082944 A082945
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane, Nov 17 2008
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STATUS
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approved
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