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A077052
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Right Moebius transformation matrix, M, by antidiagonals.
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3
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1, 0, -1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0
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OFFSET
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1,1
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COMMENTS
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If S=(s(1),s(2),...) is a sequence written as a row vector, then S*M is the Moebius transform of S; i.e. its n-th term is Sum{mu(k)*s(k): k|n}. M is the transpose of the left Moebius transformation matrix, A077050.
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LINKS
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FORMULA
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M=T^(-1), where T is the right summatory matrix, A077051.
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EXAMPLE
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Northwest corner:
1 -1 -1 0 -1 1
0 1 0 -1 0 -1
0 0 1 0 0 -1
0 0 0 1 0 0
0 0 0 0 1 0
0 0 0 0 0 1
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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