A035923 Coordination sequence for diamond structure D^+_94. (Edges defined by l_1 norm = 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

Georg Fischer, Table of n, a(n) for n = 0..200

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

Adjacent sequences: A035920 A035921 A035922 * A035924 A035925 A035926

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