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Search: id:A127740
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| A127740 |
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Natural number transform of Aitkens' triangle. |
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+0
2
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| 1, 2, 4, 6, 9, 15, 20, 28, 40, 60, 75, 100, 135, 185, 260, 312, 402, 522, 684, 906, 1218, 1421, 1785, 2254, 2863, 3661, 4718, 6139, 7016, 8640, 10680, 13256, 16528, 20712, 26104, 33120, 37260, 45153, 54873, 66888, 81801, 100395, 123696, 153063, 190323
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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Right border (1, 4, 15, 60,...) = n*B(n); left column (1, 2, 6, 20,...) = A052889, n*B(n-1). Row sums = A127741, (n+1) * A005493, where A005493 = row sums of Aitkens' triangle.
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FORMULA
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A127648 * A011971 as infinite lower triangular matrices, where A127648 = [1; 0,2; 0,0,3;...]. (n+1) * each row term in Aitkens' triangle.
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EXAMPLE
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First few rows of the triangle are:
1;
2, 4;
6, 9, 15;
20, 28, 40, 60;
75, 100, 135, 185, 260;
...
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CROSSREFS
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Cf. A000110, A005493, A052889, A011971.
Sequence in context: A005687 A024849 A090483 this_sequence A024787 A076922 A057602
Adjacent sequences: A127737 A127738 A127739 this_sequence A127741 A127742 A127743
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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), Jan 27 2007
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