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A130540 A127093 * A125093^(-1). +0
2
1, 3, 1, 4, 0, 1, 7, 3, 0, 1, 6, 0, 0, 0, 1, 12, 4, 3, 0, 0, 1, 8, 0, 0, 0, 0, 0, 1, 15, 7, 0, 3, 0, 0, 0, 1, 13, 0, 4, 0, 0, 0, 0, 0, 1, 18, 6, 0, 0, 3, 0, 0, 0, 0, 1 (list; table; graph; listen)
OFFSET

1,2

COMMENT

Left border = A000203, sigma(n): (1, 3, 4, 7, 6,...). Row sums = A007429: (1, 4, 5, 11, 7, 20, 9,...); = inverse Moebius transform applied to sigma(n); (i.e. inverse Moebius transform applied twice to natural numbers).

FORMULA

A127093 * A125093^(-1), as infinite lower triangular matrices. Triangle, sigma(n), A000203: (1, 3, 4, 7, 6, 12,...) in every column interspersed with (k-1) zeros.

EXAMPLE

First few rows of the triangle are:

1;

3, 1;

4, 0, 1;

7, 3, 0, 1;

6, 0, 0, 0, 1;

12, 4, 3, 0, 0, 1;

8, 0, 0, 0, 0, 0, 1;

...

CROSSREFS

Cf. A000203, A007429, A127093, A125093.

Adjacent sequences: A130537 A130538 A130539 this_sequence A130541 A130542 A130543

Sequence in context: A125162 A123730 A143317 this_sequence A076816 A021765 A051512

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 03 2007

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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