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A143518 Triangle read by rows, A054525 * (A010051 * 0^(n-k)), 1<=k<=n. +0
2
0, 0, 1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 (list; table; graph; listen)
OFFSET

1,1

COMMENT

Row sums = A143519: (0, 1, 1, -1, 1, -2, 1, 0, -1,...)

FORMULA

Triangle read by rows, A054525 * A010051, 1<=k<=n. A054525 = the Mobius transform. A010051 * 0^(n-k) = an infinite lower triangular matrix with A010051, the characteristic function of the primes (0, 1, 1, 0, 1, 0, 1,...) as the main diagonal and the rest zeros.

EXAMPLE

First few rows of the triangle =

0;

0, 1;

0, 0, 1;

0, -1, 0, 0;

0, 0, 0, 0, 1;

0, -1, -1, 0, 0, 0;

0, 0, 0, 0, 0, 0, 1;

..

CROSSREFS

Cf. A010051, A054525.

Sequence in context: A022926 A072785 A074937 this_sequence A122414 A116178 A028999

Adjacent sequences: A143515 A143516 A143517 this_sequence A143519 A143520 A143521

KEYWORD

tabl,sign

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 22 2008

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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