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Search: id:A127514
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| A127514 |
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Binomial transform of an infinite lower triangular matrix with mu(n) in the diagonal. |
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+0
1
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| 1, 1, -1, 1, -2, -1, 1, -3, -3, 0, 1, -4, -6, 0, -1, 1, -5, -10, 0, -5, 1, 1, -6, -15, 0, -15, 6, -1, 1, -7, -21, 0, -35, 21, -7, 0, 1, -8, -28, 0, -70, 56, -28, 0, 0, 1, -9, -36, 0, -126, 126, -84, 0, 0, 1
(list; graph; listen)
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OFFSET
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1,5
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COMMENT
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Right border = mu(n); row sums = A104688, the binomial transform of mu(n): 1, 0, -2, -5, -10, -18,...
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FORMULA
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P * M, as infinite lower triangular matrices. P = Pascal's triangle, M = mu(n) in the main diagonal and the rest zeros.
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EXAMPLE
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First few rows of the triangle are:
1;
1, -1;
1, -2, -1;
1, -3, -3, 0;
1, -4, -6, 0, -1;
1, -5, -10, 0, -5, 1;
...
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CROSSREFS
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Cf. A008683, A104688.
Sequence in context: A122044 A120744 A053423 this_sequence A078802 A108482 A124750
Adjacent sequences: A127511 A127512 A127513 this_sequence A127515 A127516 A127517
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KEYWORD
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sign
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jan 17 2007
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