A107549 Coordination sequence for B_16 lattice

1, 512, 48512, 1819520, 37445376, 499540224, 4786787456, 35328117376, 211158945280, 1061182844928, 4614543588224, 17756663447936, 61548405837056, 194947005738752, 570861870199424, 1560409469970560, 4013444615232512, 9778876600950272, 22700159649380736

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (16,-120,560,-1820,4368,-8008,11440,-12870,11440,-8008,4368,-1820,560,-120,16,-1).

Formula

G.f.: (x^16 + 4976*x^15 + 233976*x^14 + 4257488*x^13 + 38523420*x^12 + 193440624*x^11 + 573006280*x^10 + 1036952400*x^9 + 1166597190*x^8 + 818649040*x^7 + 354721224*x^6 + 92517360*x^5 + 13869596*x^4 + 1104208*x^3 + 40440*x^2 + 496*x + 1) / (x - 1)^16. [Colin Barker, Nov 21 2012]

Crossrefs

Sequence in context: A240933 A250567 A035753 * A186797 A183815 A013701

Adjacent sequences: A107546 A107547 A107548 * A107550 A107551 A107552

Keyword

nonn,easy

Author

N. J. A. Sloane, May 29 2005

Status

approved