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 A172262 a(n) is the greatest root of the Laguerre polynomial L_n(x) to the nearest integer 0
 2, 5, 8, 11, 14, 18, 21, 25, 28, 32, 35, 39, 43, 46, 50, 54, 57, 61, 65, 68, 72, 76, 80, 83, 87, 91, 95, 98, 102, 106, 110, 114, 117, 121, 125, 129, 133, 137, 140, 144, 148, 152, 156, 160, 163, 168, 171, 175, 179, 183, 186, 190, 194, 198, 202, 206, 210, 214, 217 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 REFERENCES M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 799. LINKS M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy]. Eric Weisstein's World of Mathematics, Laguerre Polynomial EXAMPLE L_n(1)=2;a(1)=2;L_n(2)=4,7320556;a(2)=5, etc. MAPLE for p from 1 to 10000 do; a:=realroot( expand(LaguerreL(p, 1, x)), 1/10000); evalf(%); od; CROSSREFS Sequence in context: A190006 A135677 A192585 * A163516 A000093 A324476 Adjacent sequences:  A172259 A172260 A172261 * A172263 A172264 A172265 KEYWORD nonn AUTHOR Michel Lagneau, Jan 30 2010 STATUS approved

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Last modified August 10 19:52 EDT 2020. Contains 336381 sequences. (Running on oeis4.)