Search: id:A035598
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%I A035598
%S A035598 0,2,16,66,192,450,912,1666,2816,4482,6800,9922,14016,19266,25872,
%T A035598 34050,44032,56066,70416,87362,107200,130242,156816,187266,221952,
%U A035598 261250,305552,355266,410816,472642,541200,616962,700416,792066
%N A035598 Number of points of L1 norm 4 in cubic lattice Z^n.
%D A035598 J. Serra-Sagrista, Enumeration of lattice points in l_1 norm, Information 
               Processing Letters, 76, no. 1-2 (2000), 39-44.
%H A035598 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 A035598 a(n) = ( 2*n^4 +4*n^2 )/3. - frank.ellermann(AT)t-online.de, Mar 16 2002
%p A035598 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 A035598 Cf. A035596 - A035607.
%Y A035598 Sequence in context: A127276 A110048 A094505 this_sequence A167566 A034579 
               A006733
%Y A035598 Adjacent sequences: A035595 A035596 A035597 this_sequence A035599 A035600 
               A035601
%K A035598 nonn,easy
%O A035598 0,2
%A A035598 N. J. A. Sloane (njas(AT)research.att.com).

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