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 A000134 Positive zeros of Bessel function of order 0 rounded to nearest integer. (Formerly M1570 N0613) 2
 2, 6, 9, 12, 15, 18, 21, 24, 27, 31, 34, 37, 40, 43, 46, 49, 53, 56, 59, 62, 65, 68, 71, 75, 78, 81, 84, 87, 90, 93, 97, 100, 103, 106, 109, 112, 115, 119, 122, 125, 128, 131, 134, 137, 141, 144, 147, 150, 153, 156, 159, 163, 166, 169, 172, 175, 178, 181, 185, 188 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 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. 409. British Association Mathematical Tables, Vol. 6, Bessel Functions, Part 1, Functions of Order Zero and Unity. Cambridge Univ. Press, 1937, p. 171. N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS David W. Wilson, Table of n, a(n) for n = 1..1000 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 a(n) = Pi*n + O(1). Probably a(n+1) - a(n) is 3 or 4 for all n. - Charles R Greathouse IV, Oct 04 2016 MATHEMATICA Table[BesselJZero[0, n] // Round, {n, 1, 40}] (* Jean-François Alcover, Feb 04 2016 *) PROG (PARI) a(n)=if(n<1, 0, n=a(n-1); until(besselj(0, n-1/2)*besselj(0, n+1/2)<0, n++); n) CROSSREFS Sequence in context: A287445 A119720 A173978 * A120701 A189752 A206813 Adjacent sequences:  A000131 A000132 A000133 * A000135 A000136 A000137 KEYWORD nonn AUTHOR STATUS approved

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Last modified December 1 06:09 EST 2020. Contains 338833 sequences. (Running on oeis4.)