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Search: id:A075117
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| A075117 |
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Table by antidiagonals of generalized Lucas numbers: T(n,k)=T(n,k-1)+n*T(n,k-2) with T(n,0)=2 and T(n,1)=1. |
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8
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| 2, 1, 2, 1, 1, 2, 1, 3, 1, 2, 1, 4, 5, 1, 2, 1, 7, 7, 7, 1, 2, 1, 11, 17, 10, 9, 1, 2, 1, 18, 31, 31, 13, 11, 1, 2, 1, 29, 65, 61, 49, 16, 13, 1, 2, 1, 47, 127, 154, 101, 71, 19, 15, 1, 2, 1, 76, 257, 337, 297, 151, 97, 22, 17, 1, 2, 1, 123, 511, 799, 701, 506, 211, 127, 25, 19, 1, 2
(list; table; graph; listen)
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OFFSET
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0,1
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FORMULA
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T(n, k) =((1+sqrt(4n+1))/2)^k+((1-sqrt(4n+1))/2)^k =2*A060959(n, k+1)-A060959(n, k).
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EXAMPLE
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Rows start: 2,1,1,1,1,1,...; 2,1,3,4,7,11,...; 2,1,5,7,17,31,...; 2,1,7,10,31,61,...; 2,1,9,13,49,101,...; 2,1,11,16,71,151,...; etc.
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CROSSREFS
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Cf. A060959. Rows include A054977, A000032, A014551, A075118, A072265. Columns include A007395, A000012, A005408, A016777, A056220, A062786.
Sequence in context: A119672 A087740 A029439 this_sequence A029810 A000377 A115660
Adjacent sequences: A075114 A075115 A075116 this_sequence A075118 A075119 A075120
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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), Sep 02 2002
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