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Search: id:A127638
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| A127638 |
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A054525 * A127640, where A127640 = infinite lower triangular matrix with the sequence of primes in the main diagonal and the rest zeros. |
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+0
4
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| 2, -2, 3, -2, 0, 5, 0, -3, 0, 7, -2, 0, 0, 0, 11, 2, -3, -5, 0, 0, 13, -2, 0, 0, 0, 0, 0, 17, 0, 0, 0, -7, 0, 0, 0, 19, 0, 0, -5, 0, 0, 0, 0, 0, 23, 2, -3, 0, 0, -11, 0, 0, 0, 0, 29, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 31, 0, 3, 0, -7, 0, -13, 0, 0, 0, 0, 0, 37, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 41, 2, -3, 0, 0, 0, 0, -17, 0, 0, 0, 0, 0, 0, 43, 2, 0, -5, 0, -11, 0, 0
(list; table; graph; listen)
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OFFSET
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1,1
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COMMENT
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Right diagonal = primes: (2, 3, 5, 7,...). Row sums = the Mobius transform of primes, A007444: (2, 1, 3, 4, 9, 7,...).
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EXAMPLE
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First few rows of the triangle are:
2;
-2, 3;
-2, 0, 5;
0, -3, 0, 7;
-2, 0, 0, 0, 11;
2, -3, -5, 0, 0, 13;
...
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MAPLE
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A054525 := proc(n, k) if n mod k = 0 then numtheory[mobius](n/k) ; else 0 ; fi ; end: A127648 := proc(n, k) A054525(n, k)*ithprime(k) ; end: for n from 1 to 16 do for k from 1 to n do printf("%d, ", A127648(n, k)) ; od ; od ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 14 2007
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CROSSREFS
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Cf. A007444, A054525, A127639.
Adjacent sequences: A127635 A127636 A127637 this_sequence A127639 A127640 A127641
Sequence in context: A022461 A007906 A098008 this_sequence A127639 A076494 A071862
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KEYWORD
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tabl,easy,sign
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jan 21 2007
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 14 2007
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