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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

Table of n, a(n) for n=2..60.

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.)