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A157423 Triangle read by rows, T(n,k) = 0 if (n-k+1) is prime, else 1. 2
1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1 (list; table; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Row sums = A062298: (1, 1, 1, 2, 2, 3, 3, 4, 5, 6,...). Eigensequence of the triangle = A052284: (1, 1, 1, 2, 3, 5, 7, 11, 17, 27,...).

FORMULA

Triangle read by rows, T(n,k) = 0 if (n-k+1) is prime, else 1. By columns, A005171 in every column: where A005171(k) = 0 if k is prime.

EXAMPLE

First few rows of the triangle =

1;

0, 1;

0, 0, 1;

1, 0, 0, 1;

0, 1, 0, 0, 1;

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

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

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

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

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

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

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

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

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

...

Example: T(6,4) = 0 since (6 - 4 + 1) = 3, prime.

CROSSREFS

Cf. A005171, A062298, A052284, A157424

Sequence in context: A152490 A145273 A120522 * A098033 A135022 A071982

Adjacent sequences:  A157420 A157421 A157422 * A157424 A157425 A157426

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson & Mats Granvik (qntmpkt(AT)yahoo.com), Feb 28 2009

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Last modified February 14 15:39 EST 2012. Contains 205635 sequences.