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A035724
Coordination sequence for 29-dimensional cubic lattice.
1
1, 58, 1682, 32538, 472642, 5502170, 53502738, 447238522, 3282606338, 21502426362, 127340157970, 689022818138, 3436393752642, 15914622204058, 68877486633362, 280118954225850, 1075699009872898, 3917195699177402
OFFSET
0,2
LINKS
J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (pdf).
Joan Serra-Sagrista, Enumeration of lattice points in l_1 norm, Inf. Proc. Lett. 76 (1-2) (2000) 39-44.
Index entries for linear recurrences with constant coefficients, signature (29, -406, 3654, -23751, 118755, -475020, 1560780, -4292145, 10015005, -20030010, 34597290, -51895935, 67863915, -77558760, 77558760, -67863915, 51895935, -34597290, 20030010, -10015005, 4292145, -1560780, 475020, -118755, 23751, -3654, 406, -29, 1).
FORMULA
G.f.: ((1+x)/(1-x))^29.
n*a(n) = 58*a(n-1) + (n-2)*a(n-2) for n > 1. - Seiichi Manyama, Aug 22 2018
MATHEMATICA
CoefficientList[Series[((1+x)/(1-x))^29, {x, 0, 20}], x] (* Harvey P. Dale, Mar 03 2017 *)
CROSSREFS
Sequence in context: A358795 A181280 A017774 * A017721 A280111 A281031
KEYWORD
nonn,easy
AUTHOR
Joan Serra-Sagrista (jserra(AT)ccd.uab.es)
EXTENSIONS
Recomputed by N. J. A. Sloane, Nov 25 1998
STATUS
approved