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Search: id:A062507
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| A062507 |
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Table by antidiagonals related to partial sums and differences of Pell numbers (A000129). |
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+0
1
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| 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 4, 3, 2, 1, 0, 10, 7, 5, 3, 1, 0, 24, 17, 12, 8, 4, 1, 0, 58, 41, 29, 20, 12, 5, 1, 0, 140, 99, 70, 49, 32, 17, 6, 1, 0, 338, 239, 169, 119, 81, 49, 23, 7, 1, 0, 816, 577, 408, 288, 200, 130, 72, 30, 8, 1, 0, 1970, 1393, 985, 696, 488, 330, 202, 102
(list; table; graph; listen)
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OFFSET
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0,7
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FORMULA
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T(n, k) =T(n, k-1)+T(n-1, k) =2T(n, k-1)+T(n, k-2)+C(n+k-3, k) for n>2.
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EXAMPLE
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Rows start (0,1,0,2,4,10,...), (0,1,1,3,7,17,...), (0,1,2,5,12,29,...) etc.
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CROSSREFS
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Rows are effectively A052542, A001333, A000129, A048739, A048776. Columns are effectively A000004, A000012, A001477, A022856.
Sequence in context: A147787 A135221 A106234 this_sequence A077875 A122049 A064879
Adjacent sequences: A062504 A062505 A062506 this_sequence A062508 A062509 A062510
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KEYWORD
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nonn,tabl
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Jul 09 2001
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