A035804 - OEIS

A035804

Coordination sequence for lattice D*_38 (with edges defined by l_1 norm = 1).

1, 76, 2888, 73188, 1392016, 21202556, 269493720, 2941076500, 28142347040, 239933990060, 1846012202088, 12950575751748, 83558656596144, 499454941121244, 2782948528883448, 14533133495314548, 71467464065517120

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OFFSET

0,2

COMMENTS

Starts to differ from A035733 at a(19). [From R. J. Mathar, Oct 24 2008]

LINKS

Table of n, a(n) for n=0..16.

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 (38, -703, 8436, -73815, 501942, -2760681, 12620256, -48903492, 163011640, -472733756, 1203322288, -2707475148, 5414950296, -9669554100, 15471286560, -22239974430, 28781143380, -33578000610, 35345263800, -33578000610, 28781143380, -22239974430, 15471286560, -9669554100, 5414950296, -2707475148, 1203322288, -472733756, 163011640, -48903492, 12620256, -2760681, 501942, -73815, 8436, -703, 38, -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=38.

CROSSREFS

Sequence in context: A261574 A017792 A035733 * A017739 A278685 A198530

Adjacent sequences: A035801 A035802 A035803 * A035805 A035806 A035807

KEYWORD

nonn

AUTHOR

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

STATUS

approved