A107509 Coordination sequence for D_14 lattice

1, 364, 25144, 694148, 10663408, 108019548, 800529576, 4653612916, 22293256160, 91253937740, 327997372696, 1057173744228, 3106163708368, 8429329644092, 21352366154632, 50925972393044, 115180565008320, 248519671078700, 514129323313144, 1024176883702084

Offset

0,2

Links

Table of n, a(n) for n=0..19.

Index entries for linear recurrences with constant coefficients, signature (14,-91,364,-1001,2002,-3003,3432,-3003,2002,-1001,364,-91,14,-1).

Formula

G.f.: (x^14 + 350*x^13 + 20139*x^12 + 374892*x^11 + 3101945*x^10 + 13109250*x^9 + 30399579*x^8 + 40090728*x^7 + 30399579*x^6 + 13109250*x^5 + 3101945*x^4 + 374892*x^3 + 20139*x^2 + 350*x + 1) / (x - 1)^14. [Colin Barker, Nov 20 2012]

Crossrefs

Sequence in context: A022045 A278002 A329187 * A140935 A249671 A022196

Adjacent sequences: A107506 A107507 A107508 * A107510 A107511 A107512

Keyword

nonn,easy

Author

N. J. A. Sloane, May 28 2005

Status

approved