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1, 1, 1, 1, 3, 1, 1, 3, 6, 6, 1, 3, 6, 18, 16, 1, 3, 6, 18, 48, 44, 1, 3, 6, 18, 48, 132, 120, 136, 18, 48, 132, 360, 328, 1, 3, 6, 18, 48, 132, 360, 984, 896, 1, 3, 6, 18, 48, 132, 360, 984, 2688, 2448, 1, 3, 6, 18, 48, 132, 360, 984, 2688, 7344, 6688
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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COMMENTS
| Row sums = A002605: (1, 2, 6, 16, 44, 120,...)
As a property of eigentriangles, sum of row terms = rightmost term of next row.
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FORMULA
| Triangle read by rows, A123191 * (A002605 * (A002605 * 0^(n-k)). A123191 is
unsigned, (A002605 * 0^(n-k))= an infinite lower triangular matrix with
A002605 as the main diagonal prefaced with a 1: (1, 1, 2, 6, 16, 44,...)
and the rest zeros.
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EXAMPLE
| First few rows of the triangle =
1;
1, 1;
1, 3, 2;
1, 3, 6, 6;
1, 3, 6, 18, 16;
1, 3, 6, 18, 48, 44;
1, 3, 6, 18, 48, 132, 120;
1, 3, 6, 18, 48, 132, 360, 328;
1, 3, 6, 18, 48, 132, 360, 984, 896;
1, 3, 6, 18, 48, 132, 360, 984, 2688, 2448;
1, 3, 6, 18, 48, 132, 360, 984, 2688, 7344, 6688;
...
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CROSSREFS
| Cf. A002605, A123191
Sequence in context: A094644 A113046 A133825 * A114588 A121745 A089312
Adjacent sequences: A156707 A156708 A156709 * A156711 A156712 A156713
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Feb 14 2009
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