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A094228
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Let s = -sqrt(2)*sqrt(n)*sqrt(1+I*n/(2*Pi))-n*log(n); then a(n) = floor(Re( -s)).
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0
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1, 3, 5, 8, 11, 14, 17, 21, 24, 28, 32, 35, 39, 43, 47, 52, 56, 60, 64, 69, 73, 78, 82, 87, 91, 96, 101, 105, 110, 115, 120, 124, 129, 134, 139, 144, 149, 154, 159, 164, 169, 175, 180, 185, 190, 195, 200, 206, 211, 216, 222, 227, 232, 238, 243, 249, 254, 259, 265, 270
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| A prime-like asymptotic sequence based on zeta zero Hermite Hilbert space.
The Hermite wave function Phi[n,s]=HermiteH[n,s]*Exp[ -s^2/(4*n)]*(1+I)/(Sqrt[2]*n^(s/2)) doesn't give a good solution.
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MATHEMATICA
| s=-Sqrt[2]*Sqrt[n]*Sqrt[1+I*n/(2*Pi)]-n*Log[n] a=Table[Floor[Re[ -s]], {n, 1, 200}]
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CROSSREFS
| Sequence in context: A084555 A102696 A130262 * A001855 A006591 A052488
Adjacent sequences: A094225 A094226 A094227 * A094229 A094230 A094231
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KEYWORD
| nonn
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AUTHOR
| Roger L Bagula (rlbagulatftn(AT)yahoo.com), May 28 2004
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