%I #4 Mar 30 2012 18:40:28
%S 1,3,9,11,21,27,39,49,71,81,121,131,241,243,343,441,443,729,815,1331,
%T 1499,1521,2187,2401,2757,5041,5071,6561,9261,9327,14641,16807,17155,
%U 17161,19683,31553,58035,58081,59049,59319,106743,117649,161051,177147
%N Powers of 3-Step Lucas numbers (A001644).
%C A001644 3-Step Lucas numbers. A000032 Lucas numbers. A001254 Squares of Lucas numbers. A075155 Cubes of Lucas numbers. A099923 Fourth powers of Lucas numbers. A103325 Fifth powers of Lucas numbers. A103324 Square array T(n,k) read by antidiagonals: powers of Lucas numbers. A105317 Powers of Fibonacci numbers.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Lucasn-StepNumber.html">Lucas n-Step Number.</a>
%F {A001644(n)} U {A001644(n)^2} U {A001644(n)^3}...
%Y Cf. A001644, A105317.
%K easy,nonn
%O 1,2
%A _Jonathan Vos Post_, Apr 27 2005
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