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A001386 Coordination sequence for 4-dimensional I-centered tetragonal orthogonal lattice. 1
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 (list; graph; refs; listen; history; text; internal format)
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.

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

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Last modified April 25 22:42 EDT 2019. Contains 322461 sequences. (Running on oeis4.)