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A120769
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Dot product sequence, with reversed subsets.
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2
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1, 1, 2, 1, 4, 6, 2, 1, 8, 14, 36, 20, 4, 6, 2, 1, 16, 30, 84, 52, 240, 396, 140, 72, 8, 14, 36, 20, 4, 6, 2, 1
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| A120405 = a dot product sequence, with no reversals. A120770 = partial sums of A120769.
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FORMULA
| a(1) = 1; then perform n * a(n) on each term in the current string; reverse the order and append to right of current string.
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EXAMPLE
| a(1) = 1, a(2) = 1, then perform the dot product of (1, 2) and (1, 1) getting (1, 2). We reverse (1, 2) getting (2, 1) which we append to the right of the current string (1, 1), getting (1, 1, 2, 1) for a(1) through a(4). Next, perform the dot product of (1, 2, 3, 4) and (1, 1, 2, 1) getting (1, 2, 6, 4) which we reverse, =
(4, 6, 2, 1). Append to the current string (1, 1, 2, 1), getting (1, 1, 2, 1, 4, 6, 2, 1) for a(1) through a(8). Continue with analogous operations.
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CROSSREFS
| Cf. A120405, A120768, A120770.
Sequence in context: A079474 A091543 A059575 * A187141 A165604 A111932
Adjacent sequences: A120766 A120767 A120768 * A120770 A120771 A120772
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KEYWORD
| nonn,uned
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 03 2006
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