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A145463
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Eigentriangle, row sums = A084509
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2
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1, 1, 1, 3, 1, 2, 13, 3, 2, 6, 47, 13, 6, 6, 24, 173, 47, 26, 18, 24, 96, 639, 173, 94, 78, 72, 96, 384, 2357, 639, 346, 282, 312, 288, 384, 1536, 8695, 2357, 1278, 1038, 1128, 1248, 1152, 1536, 6144, 32077, 8695, 4714, 3834, 4152, 4512, 4992, 4608, 6144, 24576
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,4
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COMMENTS
| Row sums = A084509: (1, 2, 6, 24, 96, 384, 1536,...).
Right border = A084509 shifted: (1, 1, 2, 6, 24,...).
Sum of n-th row terms = rightmost term of next row.
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FORMULA
| Triangle read by rows, M * (A084509 * 0^(n-k)). M = an infinite lower triangular matrix with A084519: (1, 1, 3, 13, 47, 173,...) in every column; and (A084509 * 0^(n-k)) = an infinite lower triangular matrix with A084509 (1, 2, 6, 24, 96,...) shifted: (1, 1, 2, 6, 24, 96, 384,...) as the right diagonal and the rest zeros.
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EXAMPLE
| First few rows of the triangle =
1;
1, 1;
3, 1, 2;
13, 3, 2, 6;
47, 13, 6, 6, 24;
173, 47, 26, 18, 24, 96;
639, 173, 94, 78, 72, 96, 384;
2357, 639, 346, 282, 312, 288, 384, 1536;
...
Row 4 = (13, 3, 2, 6) = termwise products of (13, 3, 1, 1) and (1, 1, 2, 6).
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CROSSREFS
| A084509, Cf. A084519
Sequence in context: A136125 A092580 A004468 * A144107 A199647 A199149
Adjacent sequences: A145460 A145461 A145462 * A145464 A145465 A145466
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KEYWORD
| eigen,nonn,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 11 2008
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