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Search: id:A143254
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| A143254 |
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Triangle read by rows, T(n,k) = (4n-3)*(4k-3); 1<=k<=n. |
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+0
2
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| 1, 5, 25, 9, 45, 81, 13, 65, 117, 169, 17, 85, 153, 221, 289, 21, 105, 189, 273, 357, 441, 25, 125, 225, 325, 425, 525, 625, 29, 145, 261, 377, 493, 609, 725, 841, 33, 165, 297, 429, 561, 693, 825, 957, 1089, 37, 185, 333, 481, 629, 777, 925, 1073, 1221, 1369
(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 = A100147: (1, 30, 135, 364, 765,...).
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FORMULA
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Triangle read by rows, T(n,k) = (4n-3)*(4k-3); 1<=k<=n, where (4k-3) = A016813: (1, 5, 9, 13, 17,...). Let X = an infinite lower triangular matrix with (1, 5, 9, 13,...) in the main diagonal and the rest zeros. The triangle = X * A000012 * X, where A000012 = an infinite lower triangular matrix with all 1's: (1; 1,1; 1,1,1;...)
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EXAMPLE
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First few rows of the triangle =
1;
5, 25;
9, 45, 81;
13, 65, 117, 169;
17, 85, 153, 221, 289;
21, 105, 189, 273, 357, 441;
...
T(5,3) = 153 = (4n-3)*(4k-3) = 17*9
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CROSSREFS
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Cf. A016813, A100147.
Sequence in context: A070386 A050084 A070379 this_sequence A070385 A070378 A070384
Adjacent sequences: A143251 A143252 A143253 this_sequence A143255 A143256 A143257
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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), Aug 02 2008
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