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Search: id:A116588
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| A116588 |
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Antidiagonal of T1 S1-Toeplitz operator matrix element inverses on H1=l^2. |
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+0
1
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| 1, 2, 2, 4, 1, 4, 8, 2, 2, 8, 16, 4, 1, 4, 16, 32, 8, 2, 2, 8, 32
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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T1={{1,r,r^2,r^3,...} {r,1,r,r^2 ...} {r^2,r,1,r...} {......}} I use r=1/2 1 1/r,1/r 1/r^2,1,1/r^2 1/r^3,1/r,1/r,1/r^3 etc.
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REFERENCES
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Rosenblum and Rovnyak, "Hardy Classes and Operator Theory",Dover, New York,1985, pages 60-63
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FORMULA
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Triangular anitdiagonal of inverses rho =1/2 T1 matrix: a(n) = M(i,j)
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EXAMPLE
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1
2,2
4,1,4
8,2,2,8
16,4,1,4,16
32,8,2,2,8,32
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CROSSREFS
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Sequence in context: A138558 A066202 A027420 this_sequence A069922 A072211 A070306
Adjacent sequences: A116585 A116586 A116587 this_sequence A116589 A116590 A116591
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KEYWORD
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nonn,uned,probation,obsc
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AUTHOR
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Roger Bagula (rlbagulatftn(AT)yahoo.com), Mar 27 2006
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