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Search: id:A086350
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| A086350 |
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Square array of Pell related numbers, read by antidiagonals. |
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+0
4
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| 1, 1, 1, 1, 2, 2, 1, 3, 5, 2, 1, 4, 10, 12, 4, 1, 5, 17, 34, 29, 4, 1, 6, 26, 74, 116, 70, 8, 1, 7, 37, 138, 325, 396, 169, 8, 1, 8, 50, 232, 740, 1432, 1352, 408, 16, 1, 9, 65, 362, 1469, 3988, 6317, 4616, 985, 16, 1, 10, 82, 534, 2644, 9354, 21544, 27878, 15760, 2378, 32
(list; table; graph; listen)
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OFFSET
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0,5
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COMMENT
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Rows include A016116, A000129, A007052, A086351. Main diagonal is A086352. Rows are successive binomial transforms of (1, 1, 2, 2, 4, 4, ....).
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FORMULA
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T(n, k)=((1+sqrt(2))(k+sqrt(2))^n-(1-sqrt(2))(k-sqrt(2))^n)/(sqrt(8))
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EXAMPLE
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Rows start
1 1 2 2 4 ...
1 2 5 12 29 ...
1 3 10 34 116 ...
1 4 17 74 325 ...
1 5 26 138 740 ...
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CROSSREFS
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Sequence in context: A111375 A165997 A046752 this_sequence A140767 A060850 A038137
Adjacent sequences: A086347 A086348 A086349 this_sequence A086351 A086352 A086353
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Jul 18 2003
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