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A261490 The total element sum of the n-fold f transform applied to the length n sequence of 1's. And f returns a sorted result after multiplying the elements in its input sequence with 1, 2, 3,... in descending size order.

%I A261490 #13 Aug 25 2015 13:52:40
%S A261490 0,1,4,19,100,633,4626,37878,348224,3542952,39339852,478962252,
%T A261490 6289532928,89038853856,1346224983936,21729308136720,371924399416320,
%U A261490 6740200653419520,128878557725067264,2598800542616444724,54986036469506668800,1217069235297874269792
%N A261490 The total element sum of the n-fold f transform applied to the length n sequence of 1's. And f returns a sorted result after multiplying the elements in its input sequence with 1, 2, 3,... in descending size order.
%H A261490 Alois P. Heinz, <a href="/A261490/b261490.txt">Table of n, a(n) for n = 0..250</a>
%p A261490 f:= l-> sort([seq(sort(l, `>`)[i]*i, i=1..nops(l))]):
%p A261490 a:= n-> add(i, i=(f@@n)([1$n])):
%p A261490 seq(a(n), n=0..35);
%Y A261490 Main diagonal of A166278.
%Y A261490 Cf. A031971 (for ascending sort), A036740 (when sum is replaced by product).
%K A261490 nonn
%O A261490 0,3
%A A261490 _Alois P. Heinz_, Aug 21 2015