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 A172263 a(n) is the greatest zero of Hermite polynomial H(n,x) to nearest integer 0
 0, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 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. 801. 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]. FORMULA HermiteH(0,x) = 1, HermiteH(1,x) = 2*x,HermiteH(n,x) = 2*x*HermiteH(n-1,x) - 2*(n-1)*HermiteH(n-2,x), for n>1. EXAMPLE H(1,x) = 2x , a(1) = 0 ; H(2,x) = 4*x^2 - 2, a(2) = 1, etc. MAPLE for p from 2 to 1000 do; a:= realroot( expand(HermiteH(p, x)), 1/1000000); print (a); od; CROSSREFS Sequence in context: A117707 A163352 A087834 * A337635 A140437 A226763 Adjacent sequences:  A172260 A172261 A172262 * A172264 A172265 A172266 KEYWORD nonn AUTHOR Michel Lagneau, Jan 30 2010 STATUS approved

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Last modified January 18 20:23 EST 2022. Contains 350455 sequences. (Running on oeis4.)