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A143535 Triangle read by rows, A122414 * A000012; 1<=k<=n. +0
3
0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 (list; table; graph; listen)
OFFSET

1,16

COMMENT

Row sums = A008472, the sum of distinct primes dividing n: (0, 2, 3, 2, 5, 5, 7, 2, 3, 7,...). Example: a(10) = 7 = 2 + 5.

FORMULA

Triangle read by rows, A122414 * A000012; 1<=k<=n. By rows, partial sums of A122414 terms starting from the right.

EXAMPLE

First few rows of the triangle =

0;

1, 1;

1, 1, 1;

1, 1, 0, 0;

1, 1, 1, 1, 1;

2, 2, 1, 0, 0, 0;

1, 1, 1, 1, 1, 1, 1;

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

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

2, 2, 1, 1, 1, 0, 0, 0, 0, 0;

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1;

...

Example: row 6 = (2, 2, 1, 0, 0, 0) = partial sums starting from the right of row 6, A122414: (0, 1, 1, 0, 0, 0).

CROSSREFS

Cf. A122414, A008472.

Sequence in context: A030619 A016370 A089069 this_sequence A016270 A049783 A024712

Adjacent sequences: A143532 A143533 A143534 this_sequence A143536 A143537 A143538

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 23 2008

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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