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A321164
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Sum of distinct products b_1*b_2*...*b_n where 1<=b_i<=n.
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1
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1, 7, 90, 1441, 38325, 916714, 37830100, 1194352181, 45241845825, 1951734678972, 147430334155104, 5664495439368403, 528359397843879784, 30798685780200874044, 1774211038440007650672, 99969666291681633988821, 13249072759407029981640765, 847264606120975715873578180
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OFFSET
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1,2
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LINKS
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EXAMPLE
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a(2) = 1 + 2 + 4 = 7.
a(3) = 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 18 + 27 = 90.
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MAPLE
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a:= proc(m) option remember; local b; b:=
proc(n) option remember; `if`(n=0, {1},
map(x-> seq(x*i, i=1..m), b(n-1)))
end; forget(b); add(i, i=b(m))
end:
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MATHEMATICA
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a[m_] := a[m] = Module[{b}, b[n_] := b[n] = If[n==0, {1}, Map[Table[# i, {i, 1, m}]&, b[n-1]]] // Flatten // Union; b[m] // Total];
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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