Search: id:A071611
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%I A071611
%S A071611 6,12,24,30,48,72,96,120,144,168,192,240,264,312,336,384,408,432,480,
%T A071611 504,528,552,576,600,672,696,720,768,816,864,936,1008,1032,1056,1104,
%U A071611 1200,1248,1296,1344,1440,1512,1584,1680,1704,1752,1848,1920,2016
%N A071611 Number of points (i,j,k) on the surface of a sphere around (0,0,0) with 
               squared radius A071609(n).
%C A071611 a(n) = number of lattice point on sphere around (0,0,0) with r^2=A071609(n).
%e A071611 A sphere with radius 1 has 6 lattice points on its surface, so a(1)=6. 
               A sphere with r=sqrt(2) passes through 12 lattice points of the shape 
               (1,1,0), so a(2)=12. A sphere with r=sqrt(5) passes through 24 lattice 
               points with shape (2,1,0), so a(3)=24. A sphere with r=sqrt(9) passes 
               through 6 lattice points of shape (3,0,0) and through 24 lattice 
               points of shape (2,2,1), so a(4)=6+24=30.
%o A071611 (FORTRAN) See program given in A071609
%Y A071611 Cf. A071342-A071344 A071609 A071610.
%Y A071611 Sequence in context: A061822 A119840 A069171 this_sequence A119500 A110967 
               A000082
%Y A071611 Adjacent sequences: A071608 A071609 A071610 this_sequence A071612 A071613 
               A071614
%K A071611 nonn
%O A071611 1,1
%A A071611 Hugo Pfoertner (hugo(AT)pfoertner.org), May 25 2002

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