%I A128939
%S A128939 1,1,1,4,4,4,7,16,16,16,28,64,64,64,112,256,256,256,448,1024,1024,1024,
%T A128939 1792,4096,4096,4096,7168,16384,16384,16384,28672,65536,65536,65536,
%U A128939 114688,262144,262144,262144,458752,1048576
%N A128939 Maximal product over partitions of n into parts of the form 3k+1.
%F A128939 Conjecture. a(n)=1 if n<4, else a(n)=4^[n/4] if n<>4m+3, else a(n)=7*4^([n/
               4]-1), where [...] denotes the Floor function. (This has been verified 
               up to n=40.)
%Y A128939 Cf. A000792, A034893, A094958.
%Y A128939 Sequence in context: A023958 A137751 A010658 this_sequence A105352 A132200 
               A110757
%Y A128939 Adjacent sequences: A128936 A128937 A128938 this_sequence A128940 A128941 
               A128942
%K A128939 nonn
%O A128939 1,4
%A A128939 John W. Layman (layman(AT)math.vt.edu), Apr 27 2007