A107510 Coordination sequence for D_15 lattice

1, 420, 33210, 1045940, 18236130, 208282068, 1727719290, 11158908420, 58971933570, 264526505540, 1035559318266, 3615105424020, 11446772554210, 33324462972660, 90187696858170, 228961922378596, 549375765196290, 1253706017102820, 2735578083949370

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Index entries for linear recurrences with constant coefficients, signature (15,-105,455,-1365,3003,-5005,6435,-6435,5005,-3003,1365,-455,105,-15,1).

Formula

G.f.: -(x + 1)*(x^14 + 404*x^13 + 26611*x^12 + 564824*x^11 + 5279521*x^10 + 24744044*x^9 + 61710571*x^8 + 83660624*x^7 + 61710571*x^6 + 24744044*x^5 + 5279521*x^4 + 564824*x^3 + 26611*x^2 + 404*x + 1) / (x - 1)^15. [Colin Barker, Nov 20 2012]

Crossrefs

Sequence in context: A058834 A022046 A289348 * A023911 A135340 A135380

Adjacent sequences: A107507 A107508 A107509 * A107511 A107512 A107513

Keyword

nonn,easy

Author

N. J. A. Sloane, May 28 2005

Status

approved