A001386 Coordination sequence for 4-dimensional I-centered tetragonal orthogonal lattice.

1, 12, 56, 164, 368, 700, 1192, 1876, 2784, 3948, 5400, 7172, 9296, 11804, 14728, 18100, 21952, 26316, 31224, 36708, 42800, 49532, 56936, 65044, 73888, 83500, 93912, 105156, 117264, 130268, 144200, 159092, 174976, 191884, 209848, 228900, 249072, 270396, 292904

Offset

0,2

References

M. O'Keeffe, Coordination sequences for lattices, Zeit. f. Krist., 210 (1995), 905-908.

Links

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

Hamzeh Mujahed and Benedek Nagy, Wiener Index on Lines of Unit Cells of the Body-Centered Cubic Grid, Mathematical Morphology and Its Applications to Signal and Image Processing, 12th International Symposium, ISMM 2015.

M. O'Keeffe, Coordination sequences for lattices, Zeit. f. Krist., 210 (1995), 905-908.

M. O'Keeffe, Coordination sequences for lattices, Zeit. f. Krist., 210 (1995), 905-908. [Annotated scanned copy]

Index entries for linear recurrences with constant coefficients, signature (4, -6, 4, -1).

Example

G.f.: (1+x)^2*(1+6*x+x^2)/(1-x)^4. - Colin Barker, Apr 14 2012

Maple

[ seq( (16*k^3+20*k)/3, k=1..40) ];

Mathematica

CoefficientList[Series[(1+x)^2*(1+6*x+x^2)/(1-x)^4, {x, 0, 30}], x] (* Vincenzo Librandi, Apr 15 2012 *)

Crossrefs

Equals 4 * A004006(2n), n>0.

Sequence in context: A104188 A069552 A035005 * A046998 A212507 A212508

Adjacent sequences: A001383 A001384 A001385 * A001387 A001388 A001389

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved