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Main diagonal The total element sum of the n-fold f transform applied to the length n sequence of A1662781's. And f returns a sorted result after multiplying the elements in its input sequence with 1, 2, 3,... in descending size order.
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f:= l-> sort([seq(sort(l, `>`)[i]*i, i=1..nops(l))]):
a:= n-> add(i, i=(f@@n)([1$n])):
seq(a(n), n=0..35);
Alois P. Heinz, <a href="/A261490/b261490.txt">Table of n, a(n) for n = 0..250</a>