Search: id:A102214
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%I A102214
%S A102214 1,6,16,30,49,72,100,132,169,210,256,306,361,420,484,552,625,702,784,
%T A102214 870,961,1056,1156,1260,1369,1482,1600,1722,1849,1980,2116,2256,2401,
%U A102214 2550,2704,2862,3025,3192,3364,3540,3721,3906,4096,4290,4489,4692,4900
%N A102214 G.f. (4*x^2+4*x+1)/((x+1)(x-1)^3).
%C A102214 A floretion-generated sequence.
%C A102214 a(n) gives the number of triples (x,y,x+y) with positive integers holding 
               x < y and x + y <= 3*n. - Marcus Schmidt (marcus-schmidt(AT)gmx.net), 
               Jan 13 2006
%H A102214 <a href="Sindx_Rea.html#recLCC">Index entries for sequences related to 
               linear recurrences with constant coefficients</a>
%F A102214 a(2n) = A016778(n) = (3n+1)^2; a(n) + a(n+1) = A038764(n) (conjecture)
%F A102214 a(n) = FLOOR( (3*n - 1)/2 ) * CEIL( (3*n - 1)/2 ). If n is even then 
               a(n) = ((3*n - 1)/2)^2 - (1/2)^2. If n is odd then a(n) = ((3*n - 
               1)/2)^2. - Marcus Schmidt (marcus-schmidt(AT)gmx.net), Jan 13 2006
%Y A102214 Cf. A016778, A038764.
%Y A102214 Sequence in context: A032422 A054000 A113742 this_sequence A115007 A005891 
               A092286
%Y A102214 Adjacent sequences: A102211 A102212 A102213 this_sequence A102215 A102216 
               A102217
%K A102214 easy,nonn
%O A102214 0,2
%A A102214 Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Feb 17 2005

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