login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A035819
Coordination sequence for lattice D*_68 (with edges defined by l_1 norm = 1).
0
1, 136, 9248, 419288, 14260416, 388134888, 8807231072, 171389157176, 2920221095296, 44261088117832, 604286975278752, 7507398039179160, 85587416923429440, 901728467693644200, 8833008614958340320
OFFSET
0,2
LINKS
Joan Serra-Sagrista, Enumeration of lattice points in l_1 norm, Inf. Proc. Lett. 76 (1-2) (2000) 39-44.
FORMULA
a(m)=add(2^k*binomial(n, k)*binomial(m-1, k-1), k=0..n)+2^n*binomial((n+2*m)/2-1, n-1); with n=68.
CROSSREFS
Sequence in context: A249237 A194014 A248452 * A233086 A374308 A278185
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, J. Serra-Sagrista (jserra(AT)ccd.uab.es)
STATUS
approved