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URL: https://oeis.org/A143810

⇱ A143810 - OEIS


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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
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.
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).
FORMULA
Triangle read by rows, A051731 * (A003238 * 0^(n-k)); 1<=k<=n
EXAMPLE
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;
...
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson, Sep 01 2008
STATUS
approved