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A035798 Coordination sequence for lattice D*_26 (with edges defined by l_1 norm = 1). 0
1, 52, 1352, 23452, 305552, 3191812, 27866072, 209284972, 1381251872, 8143343572, 43450388072, 212064570172, 955155127472, 4000126870436, 15677814054136, 57833980313356, 201820290790976, 669263277244276 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
Joan Serra-Sagrista, Enumeration of lattice points in l_1 norm, Inf. Proc. Lett. 76 (1-2) (2000) 39-44.
Index entries for linear recurrences with constant coefficients, signature (26, -325, 2600, -14950, 65780, -230230, 657800, -1562275, 3124550, -5311735, 7726160, -9657700, 10400600, -9657700, 7726160, -5311735, 3124550, -1562275, 657800, -230230, 65780, -14950, 2600, -325, 26, -1).
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=26.
CROSSREFS
Sequence in context: A160153 A017768 A035721 * A017715 A112008 A275102
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, J. Serra-Sagrista (jserra(AT)ccd.uab.es)
STATUS
approved

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Last modified March 29 11:14 EDT 2024. Contains 371278 sequences. (Running on oeis4.)