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A143810 Eigentriangle of A051731, the inverse Mobius transform. 0
1, 1, 1, 1, 0, 2, 1, 1, 0, 3, 1, 0, 0, 0, 5, 1, 1, 2, 0, 0, 6, 1, 0, 0, 0, 0, 0, 10, 1, 1, 0, 3, 0, 0, 0, 11, 1, 0, 2, 0, 0, 0, 0, 0, 16, 1, 1, 0, 0, 5, 0, 0, 0, 0, 19, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 1, 1, 2, 3, 0, 6, 0, 0, 0, 0, 0, 27, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,6

COMMENTS

Right border = A003238. Row sums = A003238 shifted one place to the left.

Sum of n-th row terms = rightmost term of next row. The sequence A003238: (1, 1, 2, 3, 5, 6, 10, 11,...) = the eigensequence of the inverse Mobius transform, A051731.

First few rows of the triangle =

1;

1, 1;

1, 0, 2;

1, 1, 0, 3;

1, 0, 0, 0, 5;

1, 1, 2, 0, 0, 6;

1, 0, 0, 0, 0, 0, 10;

1, 1, 0, 3, 0, 0, 0, 11;

1, 0, 2, 0, 0, 0, 0, 0, 16;

1, 1, 0, 0, 5, 0, 0, 0, 0, 19;

...

n-th row = termwise product of A051731 terms and the first n terms of A003238: (1, 1, 2, 3, 5, 6, 10, 11,...). Example: row 6 = (1, 1, 2, 0, 0, 6) = termwise product of (1, 1, 1, 0, 0, 1) and (1, 1, 2, 3, 5, 6).

LINKS

Table of n, a(n) for n=1..91.

FORMULA

Triangle read by rows, A051731 * (A003238 * 0^(n-k)); 1<=k<=n

CROSSREFS

A051731, Cf. A003238

Sequence in context: A343029 A343037 A152434 * A128589 A130162 A175595

Adjacent sequences:  A143807 A143808 A143809 * A143811 A143812 A143813

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Sep 01 2008

STATUS

approved

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Last modified August 3 08:21 EDT 2021. Contains 346435 sequences. (Running on oeis4.)