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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.
4
0, 1, 4, 19, 100, 633, 4626, 37878, 348224, 3542952, 39339852, 478962252, 6289532928, 89038853856, 1346224983936, 21729308136720, 371924399416320, 6740200653419520, 128878557725067264, 2598800542616444724, 54986036469506668800, 1217069235297874269792
OFFSET
0,3
LINKS
MAPLE
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);
CROSSREFS
Main diagonal of A166278.
Cf. A031971 (for ascending sort), A036740 (when sum is replaced by product).
Sequence in context: A369672 A086624 A307121 * A277956 A307678 A151382
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Aug 21 2015
STATUS
approved