Search: id:A117433
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%I A117433
%S A117433 1,1,1,3,3,5,9,11,15,21,35,41,59,75,103,149,187,243,321,413,527,735,895,
%T A117433 1165,1467,1885,2335,2997,3853,4765,5977,7473,9269,11531,14255,17537,
%U A117433 22201,26897,33233,40613,50027,60637,74459,89963,109751,134407,162117
%N A117433 Number of planar partitions of n with all part sizes distinct.
%C A117433 Matches A072706 for n < 10, since a unimodal composition into distinct 
               parts can be placed uniquely as a hook. Starting with n = 10, additional 
               partitions are possible (starting with [4,3|2,1] and [4,2|3,1]).
%H A117433 Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Apr 01 2008, <a 
               href="b117433.txt">Table of n, a(n) for n = 0..100</a>
%F A117433 a(n) = sum_{k=1}^{floor((sqrt(8*n+1)-1)/2)} A000085(k)*A008289(n,k).
%Y A117433 Cf. A000219, A072706, A117434, A000009.
%Y A117433 Sequence in context: A091916 A102437 A072706 this_sequence A159284 A078028 
               A104220
%Y A117433 Adjacent sequences: A117430 A117431 A117432 this_sequence A117434 A117435 
               A117436
%K A117433 nonn
%O A117433 0,4
%A A117433 Frank Adams-Watters (FrankTAW(AT)Netscape.net), Mar 16 2006, Apr 01 2008

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