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Search: id:A158815
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| 1, 1, 1, 4, 1, 1, 13, 5, 1, 1, 46, 16, 6, 1, 1, 166, 58, 19, 7, 1, 1, 610, 211, 71, 22, 8, 1, 1, 2269, 781, 261, 85, 25, 9, 1, 1, 8518, 2920, 976, 316, 100, 28, 10, 1, 1, 32206, 11006, 3676, 1196, 376, 116, 31, 11, 1
(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 = A000984: (1, 2, 6, 20, 70, 252,...). Left border = A026641: (1, 1, 4, 13, 46, 166, 610,...). Triangle A158793 = A007318^(-1) * A046899(reflected).
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FORMULA
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Triangle read by rows, A046899(reflected) * A007318^(-1); where the reflected version of A046899 begins: (1; 2,1; 6,3,1; 20,10,4,1;...) and A007318^(-1) is the inverse of Pascal's triangle.
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EXAMPLE
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First few rows of the triangle =
1;
1, 1;
4, 1, 1;
13, 5, 1, 1;
46, 16, 6, 1, 1;
166, 58, 19, 7, 1, 1;
610, 211, 71, 22, 8, 1, 1;
2269, 781, 261, 85, 25, 9, 1, 1;
8518, 2620, 976, 316, 100, 28, 10, 1, 1;
32206, 11006, 3676, 1196, 376, 116, 31, 11, 1, 1;
122464, 41746, 13938, 4544, 1442, 441, 133, 34, 12, 1, 1;
...
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CROSSREFS
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Cf. A046899, A000984, A026641, A158793
Sequence in context: A051433 A163366 A140070 this_sequence A101275 A039755 A047874
Adjacent sequences: A158812 A158813 A158814 this_sequence A158816 A158817 A158818
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KEYWORD
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nonn,tabl,uned
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AUTHOR
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Gary W. Adamson & Roger L. Bagula (qntmpkt(AT)yahoo.com), Mar 27 2009
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