%I A078436
%S A078436 1,2,0,3,4,0,4,6,8,0,5,8,12,16,0,6,10,16,24,32,0,7,12,20,32,48,64,0,8,
%T A078436 14,24,40,64,96,128,0,9,16,28,48,80,128,192,256,0,10,18,32,56,96,160,
%U A078436 256,384,512,0,11,20,36,64,112,192,320,512,768,1024,0,12,22,40,72,128
%N A078436 Triangle read by rows in which n-th row counts multisets associated with 
               hook partitions.
%C A078436 Row sums appear to be A077802. When more general partition types are 
               included, such as 22^(n-4) yielding 9 18 36 72 ..., the array row 
               sums becomes 1,2,7,18,50,118,301,... in agreement with A074141.
%F A078436 G.f.: x*y*(2-x)/(1-2*x*y)/(1-x)^2. - Vladeta Jovovic (vladeta(AT)eunet.rs), 
               Dec 31 2002
%e A078436 Triangle begins 1; 2,0; 3,4,0; 4,6,8,0; 5,8,12,16,0; ...
%e A078436 a(13) = 12 because we find 1 + 3 + 4 + 3 + 1 multisets of type 21^(n-2): 
               they are 4; 14,24,34; 114,124,134,234; 1124,1134,1234; and 11234
%Y A078436 Cf. A077802, A074139, A074141.
%Y A078436 Sequence in context: A153250 A102389 A099091 this_sequence A117909 A091538 
               A013584
%Y A078436 Adjacent sequences: A078433 A078434 A078435 this_sequence A078437 A078438 
               A078439
%K A078436 easy,nonn,tabl
%O A078436 1,2
%A A078436 Alford Arnold (Arnold1940(AT)aol.com), Dec 30 2002
%E A078436 More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Dec 31 2002