login
A035923
Coordination sequence for diamond structure D^+_94. (Edges defined by l_1 norm = 1.)
1
1, 0, 17672, 0, 52061712, 0, 61391167256, 0, 38825509612576, 0, 15302398872758568, 0, 4120497500732109360, 0, 806702657594563281720, 0, 120115347392454996777024, 0, 14074138851456769627934024, 0, 1332957195176687643919679056, 0, 104271843088699134170173433688, 0, 6858259645316791215900165686368, 0
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).
Joan Serra-Sagrista, Enumeration of lattice points in l_1 norm, Inf. Proc. Lett. 76 (1-2) (2000) 39-44.
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=94.
CROSSREFS
Sequence in context: A273035 A036377 A237080 * A137878 A165598 A187641
KEYWORD
nonn
AUTHOR
Joan Serra-Sagrista (jserra(AT)ccd.uab.es)
EXTENSIONS
Recomputed by N. J. A. Sloane, Nov 27 1998
Zeroes inserted by Georg Fischer, Jul 26 2020
STATUS
approved