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A160182 Triangle read by rows, 1 / ((-1)*A129184 * A051731 + I), I = Identity matrix. 2
1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 5, 2, 1, 1, 1, 6, 2, 1, 1, 1, 1, 10, 4, 2, 1, 1, 1, 1, 11, 4, 2, 1, 1, 1, 1, 1, 16, 6, 3, 2, 1, 1, 1, 1, 1, 19, 7, 4, 2, 1, 1, 1, 1, 1, 1, 26, 10, 5, 3, 2, 1, 1, 1, 1, 1, 1 (list; table; graph; refs; listen; history; internal format)
OFFSET

1,4

COMMENTS

Row sums = A068336: (1, 2, 4, 6, 10,...). Left border = A003238.

Inverse mobius transform (A051731) * the triangle shifts row terms to the right

deleting the right border, getting triangle A160183: (1; 2,1; 3,1,1; 5,2,1,1;...).

FORMULA

Triangle read by rows, 1 / ((-1)*A129184 * A051731 + I), I = Identity matrix. The operations shift the inverse Mobius transform (A051731) down, changing the signs to (-1), then add I = (1,1,1,...) as the right border.

EXAMPLE

First few rows of the triangle =

1;

1, 1;

2, 1, 1;

3, 1, 1, 1;

5, 2, 1, 1, 1;

6, 2, 1, 1, 1, 1;

10, 4, 2, 1, 1, 1, 1;

11, 4, 2, 1, 1, 1, 1, 1;

16, 6, 3, 2, 1, 1, 1, 1, 1;

19, 7, 4, 2, 1, 1, 1, 1, 1, 1;

26, 10, 5, 3, 2, 1, 1, 1, 1, 1, 1;

...

CROSSREFS

A160183

Sequence in context: A108888 A124021 A109626 * A195825 A098824 A181651

Adjacent sequences:  A160179 A160180 A160181 * A160183 A160184 A160185

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), May 03 2009

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Last modified February 16 04:47 EST 2012. Contains 205860 sequences.