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A235999 Triangle read by rows: T(n,k) = 2^k*A235998(n,k), n>=1, k>=1.

%I A235999 #39 Aug 06 2015 17:30:52
%S A235999 2,4,4,8,6,20,4,56,8,88,48,4,176,144,8,272,448,6,428,1168,8,688,2496,
%T A235999 384,4,1044,5416,1344,12,1584,10864,4608,4,2424,21328,13152,8,3800,
%U A235999 40096,35616,8,5656,76336,84864,3840,10,8952,140248,200224,15360
%N A235999 Triangle read by rows: T(n,k) = 2^k*A235998(n,k), n>=1, k>=1.
%C A235999 T(n,k) is also the number of overcompositions of n having k distinct parts. For the definition of overcomposition see A236002.
%C A235999 Row n has length A003056(n) hence the first element of column k is in row A000217(k).
%C A235999 Row sums give A236002, n >= 1.
%C A235999 Column 1 is A062011.
%C A235999 T(k*(k+1)/2,k) = T(A000217(k),k) = A000165(k) = (2*k)!!. - _Alois P. Heinz_, Jan 20 2014
%H A235999 Alois P. Heinz, <a href="/A235999/b235999.txt">Rows n = 1..500, flattened</a>
%e A235999 Triangle begins:
%e A235999 2;
%e A235999 4;
%e A235999 4,     8;
%e A235999 6,    20;
%e A235999 4,    56;
%e A235999 8,    88,     48;
%e A235999 4,   176,    144;
%e A235999 8,   272,    448;
%e A235999 6,   428,   1168;
%e A235999 8,   688,   2496,    384;
%e A235999 4,  1044,   5416,   1344;
%e A235999 12, 1584,  10864,   4608;
%e A235999 4,  2424,  21328,  13152;
%e A235999 8,  3800,  40096,  35616;
%e A235999 8,  5656,  76336,  84864,  3840;
%e A235999 10, 8952, 140248, 200224, 15360;
%e A235999 ...
%Y A235999 Cf. A003056, A011782, A062011, A116608, A235790, A235998, A236002.
%K A235999 nonn,tabf,look
%O A235999 1,1
%A A235999 _Omar E. Pol_, Jan 19 2014
%E A235999 More terms from _Alois P. Heinz_, Jan 20 2014