Search: id:A035599
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%I A035599
%S A035599 0,2,20,102,360,1002,2364,4942,9424,16722,28004,44726,68664,101946,
%T A035599 147084,207006,285088,385186,511668,669446,864008,1101450,1388508,
%U A035599 1732590,2141808,2625010,3191812,3852630,4618712,5502170,6516012
%N A035599 Number of points of L1 norm 5 in cubic lattice Z^n.
%D A035599 J. Serra-Sagrista, Enumeration of lattice points in l_1 norm, Information 
               Processing Letters, 76, no. 1-2 (2000), 39-44.
%H A035599 J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination 
               Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (<a href="http:/
               /www.research.att.com/~njas/doc/ldl7.txt">Abstract</a>, <a href="http:/
               /www.research.att.com/~njas/doc/ldl7.pdf">pdf</a>, <a href="http:/
               /www.research.att.com/~njas/doc/ldl7.ps">ps</a>).
%F A035599 a(n)= ( 4*n^4 +20*n^2 +6 )*n/15. - frank.ellermann(AT)t-online.de, Mar 
               16 2002
%p A035599 f := proc(d,m) local i; sum( 2^i*binomial(d,i)*binomial(m-1,i-1),i=1..min(d,
               m)); end; # n=dimension, m=norm
%Y A035599 Cf. A035596 - A035607.
%Y A035599 Sequence in context: A033840 A086755 A107483 this_sequence A103101 A009357 
               A052361
%Y A035599 Adjacent sequences: A035596 A035597 A035598 this_sequence A035600 A035601 
               A035602
%K A035599 nonn,easy
%O A035599 0,2
%A A035599 N. J. A. Sloane (njas(AT)research.att.com).

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