A082942 a(n) = (n^2+1)*(4*n^2+1)*(4*n^2+3).

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

Offset

0,1

Comments

Volume of fundamental region for a sequence of 3-D lattices that converges to the FCC lattice.

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).

Formula

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

Mathematica

Table[(n^2+1)(4n^2+1)(4n^2+3), {n, 0, 30}] (* Harvey P. Dale, Mar 22 2012 *)

Crossrefs

Cf. A083196.

Sequence in context: A316737 A061173 A156598 * A000282 A322775 A338408

Adjacent sequences: A082939 A082940 A082941 * A082943 A082944 A082945

Keyword

nonn,easy

Author

N. J. A. Sloane, Nov 17 2008

Status

approved