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A072549
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a(n)=Abs(Floor(n+a(n-1)/n-n*log(n))).
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0
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1, 2, 2, 1, 2, 3, 4, 5, 6, 7, 9, 9, 12, 10, 16, 9, 24, 2, 34, 23, 14, 34, 6, 48, 43, 18, 47, 19, 53, 28, 46, 8, 77, 97, 190, 941, 24503, 16226849, 6929227064868, 1231133018371774314868035
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| This sequence is based on the cylinder flow equation that is in most fluid dynamics texts. I used a n*log(n) circulation term to slow down the progression which gets very large very fast after n=36.
I take this sequence as an analogue of the inverse of the rate of flow in fluid layers around a cylinder and the fluid comes to a near stop when n gets greater than 36. A similar complex plane Julia to this is also possible using the iterative k for the n in this equation and leaving out the absolute value and floor functions.
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MATHEMATICA
| s[0] = 1; s[n_Integer] := s[n] = Abs[Floor[n + s[n - 1]^2/n - n*Log[n]]]; Table[s[n], {n, 0, 40}]
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CROSSREFS
| Sequence in context: A127218 A071444 A085257 * A200114 A120652 A113825
Adjacent sequences: A072546 A072547 A072548 * A072550 A072551 A072552
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KEYWORD
| nonn
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Aug 05 2002
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EXTENSIONS
| Edited By Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 08 2002
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