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A143535 Triangle read by rows, A122414 * A000012; 1<=k<=n. 2
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; refs; listen; history; text; internal format)
OFFSET

1,16

COMMENTS

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.

LINKS

Table of n, a(n) for n=1..105.

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: A219494 A334221 A089069 * A301366 A250100 A339627

Adjacent sequences:  A143532 A143533 A143534 * A143536 A143537 A143538

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Aug 23 2008

STATUS

approved

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Last modified April 19 17:46 EDT 2021. Contains 343117 sequences. (Running on oeis4.)