Search: id:A071954
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%I A071954
%S A071954 2,4,10,32,114,420,1562,5824,21730,81092,302634,1129440,4215122,
%T A071954 15731044,58709050,219105152,817711554,3051741060,11389252682,
%U A071954 42505269664,158631825970,592022034212,2209456310874,8245803209280
%N A071954 a(n) = 4*a(n-1) - a(n-2) - 4, with a(0)=2, a(1)=4.
%C A071954 a(n) gives the side of a cube having a square number of cubes in its 
               two outermost layers, i.e. solutions p to the equation p^3 - (p-4)^3 
               = q^2. The corresponding q is given by 4*A001075(n).
%D A071954 M. E. Larsen, "Four Cubes" in Puzzler's Tribute, Ed. D. Wolfe & T. Rodgers, 
               pp. 69-70, A. K. Peters, MA, 2002
%t A071954 a[n_] := a[n] = 4*a[n - 1] - a[n - 2] - 4; a[0] = 2; a[1] = 4; Table[ 
               a[n], {n, 0, 25}]
%Y A071954 Equals A052530(n) + 2, n>0. Cf. A003699.
%Y A071954 Sequence in context: A005269 A070900 A151400 this_sequence A120017 A000736 
               A001250
%Y A071954 Adjacent sequences: A071951 A071952 A071953 this_sequence A071955 A071956 
               A071957
%K A071954 nice,nonn
%O A071954 0,1
%A A071954 Lekraj Beedassy (blekraj(AT)yahoo.com), Jun 25 2002
%E A071954 Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 27 2002

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