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A035611 Coordination sequence for lattice D*_22 (with edges defined by l_1 norm = 1). 0
1, 44, 968, 14212, 156816, 1388508, 10286936, 65652532, 368804128, 1854105484, 8453107432, 35333619428, 136677756336, 493244610364, 1672424817272, 5360494538388, 16327295550016, 47469373288172, 132235461020168, 354093052356164 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

J. Serra-Sagrista, Enumeration of lattice points in l_1 norm, Information Processing Letters, 76, no. 1-2 (2000), 39-44.

LINKS

Table of n, a(n) for n=0..19.

Index entries for linear recurrences with constant coefficients, signature (22, -231, 1540, -7315, 26334, -74613, 170544, -319770, 497420, -646646, 705432, -646646, 497420, -319770, 170544, -74613, 26334, -7315, 1540, -231, 22, -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=22.

CROSSREFS

Sequence in context: A299466 A010960 A035717 * A161679 A162182 A162413

Adjacent sequences:  A035608 A035609 A035610 * A035612 A035613 A035614

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, J. Serra-Sagrista (jserra(AT)ccd.uab.es)

STATUS

approved

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Last modified October 16 09:00 EDT 2018. Contains 316259 sequences. (Running on oeis4.)