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A145579
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Eigentriangle, row sums = A001590
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2
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1, 1, 1, 0, 1, 2, 1, 0, 2, 3, 1, 1, 0, 3, 6, 0, 1, 2, 0, 6, 11, 1, 0, 2, 3, 0, 11, 20, 1, 1, 0, 3, 6, 0, 20, 37, 0, 1, 2, 0, 6, 11, 0, 37, 68, 1, 0, 2, 3, 0, 11, 20, 0, 68, 125
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 3,6
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COMMENTS
| Row sums = A001590 starting (1, 2, 3, 6, 11, 20, 37,...).
Sum of n-th row terms = rightmost term of next row.
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FORMULA
| Let M = an infinite lower triangular matrix with (1, 1, 0, 1, 1, 0,...) in
every column and X = a diagonalized matrix of A001590: (1, 1, 2, 3, 6, 11, 20,
37,...), (i.e. A001590 starting with offset 3 as a diagonal prefaced with a 1; and the rest
zeros). Triangle A145579 = M * X.
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EXAMPLE
| First few rows of the triangle =
1;
1, 1;
0, 1, 2;
1, 0, 2, 3;
1, 1, 0, 3, 6;
0, 1, 2, 0, 6, 11;
1, 0, 2, 3, 0, 11, 20;
1, 1, 0, 3, 6, 0, 20, 37;
0, 1, 2, 0, 6, 11, 0, 37, 68;
1, 0, 2, 3, 0, 11, 20, 0, 68, 125;
...
Row 7 = (1, 1, 0, 3, 6) = termwise products of (1, 1, 0, 1, 1) and (1, 1, 2, 3, 6).
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CROSSREFS
| A001590
Sequence in context: A143067 A123949 A144082 * A167655 A157218 A004718
Adjacent sequences: A145576 A145577 A145578 * A145580 A145581 A145582
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 13 2008
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EXTENSIONS
| Alignment of example rows and unintentional concatenation of values fixed by Charles J. Daniels (chajadan(AT)gmail.com), Dec 05 2009
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