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A143237 Triangle read by rows, A130208 * A000012 * A130208; 1<=k<=n. 1
1, 3, 9, 4, 12, 16, 7, 21, 28, 49, 6, 18, 24, 42, 36, 12, 36, 48, 84, 72, 144, 8, 24, 32, 56, 48, 96, 64, 15, 45, 60, 105, 90, 180, 120, 225, 13, 39, 52, 91, 78, 156, 104, 195, 169, 18, 54, 72, 126, 108, 216, 144, 270, 234, 324, 12, 36, 48, 84, 72, 144, 96, 180, 156, 216 (list; table; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Row sums = A143238: (1, 12, 32, 105, 126,...).

FORMULA

Triangle read by rows, A130208 * A000012 * A130208; 1<=k<=n. T(n,k) = sigma(n)*sigma(k), where sigma(n) = A000203, the sum of divisors of n.

EXAMPLE

First few rows of the triangle =

1;

3, 9;

4, 12, 16;

7, 21, 28, 49;

6, 18, 24, 42, 36;

12, 36, 48, 84, 72, 144;

8, 24, 32, 56, 48, 96, 64;

15, 45, 60, 105, 90, 180, 120, 225;

13, 39, 52, 91, 78, 156, 104, 195, 169;

...

T(6,3) = 48 = sigma(6)*sigma(3) = 12*4

CROSSREFS

Cf. A000203, A024916, A130208, A143238.

Sequence in context: A199452 A011428 A070356 * A180485 A021966 A016675

Adjacent sequences:  A143234 A143235 A143236 * A143238 A143239 A143240

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 01 2008

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Last modified February 13 08:12 EST 2012. Contains 205451 sequences.