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Search: id:A132898
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| 1, -2, -5, 3, 0, 5, -4, -7, -2, -9, 5, 2, 7, 0, 9, -6, -9, -4, -11, -2, -13, 7, 4, 9, 2, 11, 0, 13, -8, -11, -6, -13, -4, -15, -2, -17, 9, 6, 11, 4, 13, 2, 15, 0, 17, -10, -13, -8, -15, -6, -17, -4, -19, -2, -21
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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Row sums = A132899: (1, -7, 8, -22, 23, -45,...)
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FORMULA
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(A000012 * A126648 + A127648 * A000012) - A000012 as infinite lower triangular matrices; where A127648 = (1; 0,-2; 0,0,3; 0,0,0,-4;...). Given the sequence S = (1, -2, 3, -4, 5,...); T(n,k) = S(n) + S(k) - 1.
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EXAMPLE
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First few rows of the triangle are:
1;
-2, -5;
3, 0, 5;
-4, -7, -2, -9;
5, 2, 7, 0, 9;
-6, -9, -4, -11, -2, -13;
7, 4, 9, 2, 11, 0, 13;
-8, -11, -6, -13, -4, -15, -2, -17;
9, 6, 11, 4, 13, 2, 15, 0, 7;
...
T(5,3) = 7 = S(5) + S(3) = 5 + 3 - 1.
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CROSSREFS
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Cf. A127648, A132899.
Sequence in context: A130280 A011035 A102892 this_sequence A062706 A059217 A021802
Adjacent sequences: A132895 A132896 A132897 this_sequence A132899 A132900 A132901
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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), Sep 03 2007
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