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Search: id:A081265
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| A081265 |
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Triangle of coefficients of solutions to a(n)=2*a(n-1)+k^2*a(n-2), a(0)=1, a(1)=1. |
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+0
2
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| 1, 1, 0, 2, 0, 1, 4, 0, 3, 0, 8, 0, 8, 0, 1, 16, 0, 20, 0, 5, 0, 32, 0, 48, 0, 18, 0, 1, 64, 0, 112, 0, 56, 0, 7, 0, 128, 0, 256, 0, 160, 0, 32, 0, 1, 256, 0, 576, 0, 432, 0, 120, 0, 9, 0, 512, 0, 1280, 0, 1120, 0, 400, 0, 50, 0, 1, 1024, 0, 2816, 0, 2816, 0, 1232, 0, 220
(list; table; graph; listen)
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OFFSET
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0,4
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COMMENT
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Unsigned Chebyshev numbers of the first kind. Columns include A011782, A001792, A001793, A001794, A006974.
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FORMULA
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Triangle is generated by T(n, k)=((1+sqrt(k^2+1))^n+(1-sqrt(k^2+1))^n)/2.
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EXAMPLE
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Triangle rows are {1}, {1,0}, {2,0,1}, {4,0,3,0}, {8,0,8,0,1},.... [Corrected by Philippe DELEHAM, Dec 27 2007]
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CROSSREFS
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Cf. A008310.
Sequence in context: A121462 A131487 A039991 this_sequence A108643 A133838 A121583
Adjacent sequences: A081262 A081263 A081264 this_sequence A081266 A081267 A081268
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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), Mar 15 2003
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