A133727 - OEIS

A133727

A051731 * A007438 as a diagonalized matrix.

1, 1, 2, 1, 0, 5, 1, 2, 0, 7, 1, 0, 0, 0, 14, 1, 2, 5, 0, 0, 13, 1, 0, 0, 0, 0, 0, 27, 1, 2, 0, 7, 0, 0, 0, 26, 1, 0, 5, 0, 0, 0, 0, 0, 39, 1, 2, 0, 0, 14, 0, 0, 0, 0, 38

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OFFSET

1,3

COMMENTS

Row sums = the triangular numbers: (1, 3, 6, 10, 15, ...).

Right diagonal = A007438.

LINKS

Table of n, a(n) for n=1..55.

FORMULA

Inverse Mobius transform of A007438 as a diagonalized matrix; i.e., A051731 * (1; 0,2 0,0,5; 0,0,0,7; ...) where A007438 = (1, 2, 5, 7, 14, 13, 27, ...), the Mobius transform of the triangular numbers.

EXAMPLE

First few rows of the triangle:

1, 2;

1, 0, 5;

1, 2, 0, 7;

1, 0, 0, 0, 14;

1, 2, 5, 0, 0, 13;

1, 0, 0, 0, 0, 0, 27;

...

CROSSREFS

Cf. A007438, A051731.

Sequence in context: A350262 A243821 A143445 * A103185 A130513 A114596

Adjacent sequences: A133724 A133725 A133726 * A133728 A133729 A133730

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Sep 21 2007

STATUS

approved