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Search: id:A152736
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| A152736 |
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Triangle read by rows: M*Q, where M = an infinite lower triangular matrix with A140456 in every column: (1, 1, 1, 3, 7, 23, 71,...) and Q = a matrix with A000085 as the main diagonal the rest zeros. |
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| 1, 1, 1, 1, 1, 2, 3, 1, 2, 4, 7, 3, 2, 4, 10, 23, 7, 6, 4, 10, 26, 71, 23, 14, 12, 10, 26, 76, 255, 71, 46, 28, 30, 26, 76, 232, 911, 255, 142, 92, 70, 78, 76, 232, 764, 3535, 911, 510, 284, 230, 182, 228, 232, 764, 2620
(list; table; graph; listen)
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OFFSET
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1,6
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COMMENT
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An eigentriangle.
Row sums = A000085 starting with offset 1.
Sum of n-th row terms = rightmost term of next row.
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EXAMPLE
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First few rows of the triangle =
1;
1, 1;
1, 1, 2;
3, 1, 2, 4;
7, 3, 2, 4, 10;
23, 7, 6, 4, 10, 26;
71, 23, 14, 12, 10, 26, 76;
255, 71, 46, 28, 30, 26, 76, 232;
911, 255, 142, 92, 70, 78, 76, 232, 764;
3535, 911, 510, 284, 230, 182, 228, 232, 764, 2620;
13903, 3535, 1822, 1020, 710, 598, 532, 696, 764, 2620, 9496;
...
Row r = (3, 1, 2, 4) = (3*1, 1*1, 1*2, 1*4) = termwise products of (3, 1, 1, 1) and (1, 1, 2, 4), where A000085 = (1, 1, 2, 4, 10, 26, 76,...).
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CROSSREFS
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Cf. A000085, A140456
Sequence in context: A163256 A144962 A166871 this_sequence A139246 A131227 A050981
Adjacent sequences: A152733 A152734 A152735 this_sequence A152737 A152738 A152739
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KEYWORD
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eigen,nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 12 2008
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