%I A084252
%S A084252 3,4,3,13,13,2,6,2,2,3,21,5,3,4,10,18,7,6,10,139,16,11,14,39,54,23,23,
               39,
%T A084252 3479,53,40,52,158,165,78,81,148,2429,177,140,191,657,517,269,289,563,
               3923,
%U A084252 595,492,702,2833,1645,933,1041,2156,9021,2012,1740,2590,12872,5304,3242,
               3756
%V A084252 3,-4,3,13,13,2,6,2,-2,-3,21,5,-3,4,-10,-18,7,-6,10,-139,-16,11,-14,39,
               54,-23,23,-39,
%W A084252 3479,53,-40,52,-158,-165,78,-81,148,2429,-177,140,-191,657,517,-269,289,
               -563,-3923,
%X A084252 595,-492,702,-2833,-1645,933,-1041,2156,9021,-2012,1740,-2590,12872,5304,
               -3242,3756
%N A084252 A measure of how close r^n is to an integer where r is the real root 
               of x^3-x-1, i.e. r = (1/2+sqrt(23/108))^(1/3) + (1/2-sqrt(23/108))^(1/
               3) = 1.3247.... (Higher absolute value of a(n) means closer, negative 
               means less than closest integer.).
%F A084252 a(n) = round[1/(r^n-round[r^n])]
%e A084252 a(4)=13 since r^4=3.0795956..., 1/(3.0795956...-round[3.0795956...])=1/
               0.0795956...=12.5635... and round[12.5635...]=13.
%Y A084252 Cf. A056581, A060006. Positive values when n is in A051016 and negative 
               when n is in A051017.
%Y A084252 Sequence in context: A077628 A158134 A051508 this_sequence A038018 A108658 
               A021748
%Y A084252 Adjacent sequences: A084249 A084250 A084251 this_sequence A084253 A084254 
               A084255
%K A084252 sign
%O A084252 1,1
%A A084252 Henry Bottomley (se16(AT)btinternet.com), May 22 2003