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Search: id:A029548
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| A029548 |
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Expansion of 1/(1-32*x+x^2). |
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+0
1
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| 1, 32, 1023, 32704, 1045505, 33423456, 1068505087, 34158739328, 1092011153409, 34910198169760, 1116034330278911, 35678188370755392, 1140585993533893633, 36463073604713840864, 1165677769357309014015
(list; graph; listen)
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OFFSET
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0,2
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LINKS
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Tanya Khovanova, Recursive Sequences
Index entries for sequences related to Chebyshev polynomials.
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FORMULA
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a(n)=32*a(n-1) - a(n-2), a(-1)=0, a(0)=1.
a(n)= S(n, 32) with S(n, x) := U(n, x/2) Chebyshev's polynomials of the 2nd kind. See A049310.
a(n) = (ap^(n+1) - am^(n+1))/(ap - am) with ap=16+sqrt(255) and am=16-sqrt(255).
a(n)= sum((-1)^k*binomial(n-k, k)*32^(n-2*k), k=0..floor(n/2)).
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CROSSREFS
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Sequence in context: A115612 A063818 A065552 this_sequence A016745 A009976 A041481
Adjacent sequences: A029545 A029546 A029547 this_sequence A029549 A029550 A029551
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KEYWORD
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nonn
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AUTHOR
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njas
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EXTENSIONS
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Chebyshev comments from W. Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Nov 29 2002
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