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Search: id:A152538
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| 1, 1, 1, 2, 1, 1, 3, 2, 1, 2, 5, 3, 2, 2, 4, 7, 5, 3, 4, 4, 9, 11, 7, 5, 6, 8, 9, 18, 15, 11, 7, 10, 12, 18, 18, 37, 22, 15, 11, 14, 20, 27, 36, 37, 74, 30, 22, 15, 22, 28, 45, 54, 74, 74, 148, 42, 30, 22, 30, 44, 63, 90, 111, 148, 148, 296
(list; table; graph; listen)
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OFFSET
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0,4
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COMMENT
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Row sums = 2^n.
Right border = A152537, left border = A000041.
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FORMULA
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Triangle read by rows, M*Q. M = A027293 as an infinite lower triangular matrix with the partition numbers (A000041) in every column. Q = a matrix with A152537 as the main diagonal and the rest zeros.
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EXAMPLE
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First few rows of the triangle =
1;
1, 1;
2, 1, 1;
3, 2, 1, 2;
5, 3, 2, 2, 4;
7, 5, 3, 4, 4, 9;
11, 7, 5, 6, 8, 9, 18;
15, 11, 7, 10, 12, 18, 18, 37;
22, 15, 11, 14, 20, 27, 36, 37, 74;
30, 22, 15, 22, 28, 45, 54, 74, 74, 148;
42, 30, 22, 30, 44, 63, 90, 111, 148, 148, 296;
56, 42, 30, 44, 60, 99, 126, 185, 222, 296, 296, 592;
77, 56, 42, 60, 88, 135, 198, 259, 370, 444, 592, 592, 1183;
...
Row 3 = (3, 2, 1, 2) = termwise products of (3, 2, 1, 1) and (1, 1, 1, 2).
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CROSSREFS
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Cf. A152537, A027293, A000041
Adjacent sequences: A152535 A152536 A152537 this_sequence A152539 A152540 A152541
Sequence in context: A112380 A165162 A125106 this_sequence A141110 A025831 A079673
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 10 2008
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