A008379 Crystal ball sequence for D_10 lattice.

1, 181, 6621, 101241, 903881, 5590989, 26515269, 102908209, 341661649, 1001294629, 2650436845, 6447019305, 14603375385, 31126140605, 62948716245, 121608649569, 225663101089, 404083136149, 700922413309, 1181618464729, 1941355693161, 3115998965421, 4896195782501

Offset

0,2

Links

T. D. Noe, Table of n, a(n) for n = 0..1000

J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (pdf).

Index entries for crystal ball sequences

Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

Formula

a(n-1) = 676/4725*n^10-676/945*n^9+1168/315*n^8-664/63*n^7+1796/75*n^6-1708/45*n^5+41176/945*n^4-6568/189*n^3+29342/1575*n^2-634/105*n+1.

G.f.: (x^10+170*x^9+4685*x^8+38200*x^7+124850*x^6+183356*x^5+124850*x^4+38200*x^3+4685*x^2+170*x+1)/(1-x)^11. [Colin Barker, May 28 2012]

Maple

676/4725*x^10-676/945*x^9+1168/315*x^8-664/63*x^7+1796/75*x^6-1708/45*x^5+41176/945*x^4-6568/189*x^3+29342/1575*x^2-634/105*x+1;

Prog

(Maxima) A008379(x):=676/4725*x^10-676/945*x^9+1168/315*x^8-664/63*x^7+1796/75*x^6-1708/45*x^5+41176/945*x^4-6568/189*x^3+29342/1575*x^2-634/105*x+1$
makelist(A008379(x), x, 1, 30); /* Martin Ettl, Oct 26 2012 */

Crossrefs

Sequence in context: A155018 A179814 A293655 * A262141 A212938 A070250

Adjacent sequences: A008376 A008377 A008378 * A008380 A008381 A008382

Keyword

nonn,easy

Author

N. J. A. Sloane and J. H. Conway

Status

approved