|
|
A035899
|
|
Coordination sequence for diamond structure D^+_46. (Edges defined by l_1 norm = 1.)
|
|
1
|
|
|
1, 0, 4232, 0, 2987792, 0, 846141848, 0, 128975126048, 0, 12312430500520, 0, 808072815510832, 0, 38851092934042552, 0, 1433080081936088128, 0, 42010353222033261768, 0, 1006338265202317013840, 0, 20147944043360020434392, 35184372088832, 343501353331500571867744, 38034306228027392
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
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 linear recurrences with constant coefficients, signature (0, 46, 0, -1035, 0, 15180, 0, -163185, 0, 1370754, 0, -9366819, 0, 53524680, 0, -260932815, 0, 1101716330, 0, -4076350421, 0, 13340783196, 0, -38910617655, 0, 101766230790, 0, -239877544005, 0, 511738760544, 0, -991493848554, 0, 1749695026860, 0, -2818953098830, 0, 4154246671960, 0, -5608233007146, 0, 6943526580276, 0, -7890371113950, 0, 8233430727600, 0, -7890371113950, 0, 6943526580276, 0, -5608233007146, 0, 4154246671960, 0, -2818953098830, 0, 1749695026860, 0, -991493848554, 0, 511738760544, 0, -239877544005, 0, 101766230790, 0, -38910617655, 0, 13340783196, 0, -4076350421, 0, 1101716330, 0, -260932815, 0, 53524680, 0, -9366819, 0, 1370754, 0, -163185, 0, 15180, 0, -1035, 0, 46, 0, -1).
|
|
MAPLE
|
f := proc(m) local k, t1; t1 := 2^(n-1)*binomial((n+2*m)/2-1, n-1); if m mod 2 = 0 then t1 := t1+add(2^k*binomial(n, k)*binomial(m-1, k-1), k=0..n); fi; t1; end; where n=46.
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Joan Serra-Sagrista (jserra(AT)ccd.uab.es)
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|