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A131424 (A000012 * A127640) + (A127640 * A000012) - 3*A000012. +0
3
1, 2, 3, 4, 5, 7, 6, 7, 9, 11, 10, 11, 13, 15, 19, 12, 13, 15, 17, 21, 23, 16, 17, 19, 21, 25, 27, 31, 18, 19, 21, 23, 27, 29, 33, 35, 22, 23, 25, 27, 31, 33, 37, 39, 43, 28, 29, 31, 33, 37, 39, 43, 45, 49, 55 (list; table; graph; listen)
OFFSET

1,2

COMMENT

Left border = A006093, (primes - 1): (1, 2, 4, 6, 10, 12,...). Right broder = A131426 (2*primes - 3): (1, 3, 7, 11, 19, 23, 31,...). Row sums = A131425: (1, 5, 16, 33, 68, 101, 156,...).

FORMULA

(A000012 * A127640) + (A127640 * A000012) - 3*A000012; as infinite lower triangular matrices.

EXAMPLE

First few rows of the triangle are:

1;

2, 3;

4, 5, 7;

6, 7, 9, 11;

10, 11, 13, 15, 19;

12, 13, 15, 17, 21, 23;

16, 17, 19, 21, 25, 27, 31;

18, 19, 21, 23, 27, 29, 33, 35;

22, 23, 25, 27, 31, 33, 37, 39, 43;

...

CROSSREFS

Cf. A127640, A131425, A131426, A006093, A000040.

Sequence in context: A031225 A085729 A073907 this_sequence A072797 A131169 A131170

Adjacent sequences: A131421 A131422 A131423 this_sequence A131425 A131426 A131427

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 10 2007

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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