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Search: id:A129994
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| 1, 2, 1, 2, 4, 1, 2, 6, 6, 1, 2, 8, 12, 8, 1, 2, 10, 20, 20, 10, 1, 2, 12, 30, 40, 30, 12, 1, 2, 14, 42, 70, 70, 42, 14, 1, 2, 16, 56, 112, 140, 112, 56, 16, 1, 2, 18, 72, 168, 252, 252, 168, 72, 18, 1
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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Row sums = (1, 3, 7, 15, 31,...).
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FORMULA
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Inverse binomial transform of triangle A131109. Let Pascal's triangle A007318 = P, then this is (1/P) * (2P^2 - P) = 2*P - I, I = Identity matrix.
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EXAMPLE
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First few rows of the triangle are:
1;
2, 1;
2, 4, 1;
2, 6, 6, 1;
2, 8, 12, 8, 1;
2, 10, 20, 20, 10, 1;
2, 12, 30, 40, 30, 12, 1;
...
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CROSSREFS
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Cf. A131109, A007318.
Sequence in context: A152036 A035015 A114791 this_sequence A080246 A113413 A125694
Adjacent sequences: A129991 A129992 A129993 this_sequence A129995 A129996 A129997
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 15 2007
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