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%I #5 May 10 2013 12:45:08
%S 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 14,24,40,64,96,128,0,9,16,28,48,80,128,192,256,0,10,18,32,56,96,160,
%U 256,384,512,0,11,20,36,64,112,192,320,512,768,1024,0,12,22,40,72,128
%N Triangle read by rows in which n-th row counts multisets associated with hook partitions.
%C 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 G.f.: x*y*(2-x)/(1-2*x*y)/(1-x)^2. - _Vladeta Jovovic_, Dec 31 2002
%e Triangle begins 1; 2,0; 3,4,0; 4,6,8,0; 5,8,12,16,0; ...
%e 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 Cf. A077802, A074139, A074141.
%K easy,nonn,tabl
%O 1,2
%A _Alford Arnold_, Dec 30 2002
%E More terms from _Vladeta Jovovic_, Dec 31 2002
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