A000167 Nearest integer to modified Bessel function K_n(2). (Formerly M1938 N0767)

0, 0, 0, 1, 2, 9, 49, 306, 2188, 17810, 162482, 1642635, 18231462, 220420179, 2883693795, 40592133316, 611765693528, 9828843229764, 167702100599524, 3028466654021205, 57708568527002410, 1157199837194069405

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. 429.

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

Alois P. Heinz, Table of n, a(n) for n = 0..200

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].

Index entries for sequences related to Bessel functions or polynomials

Formula

b(n) = (n-1)*b(n-1) + b(n-2) with b(n) = K_n(2). - Christian Krause, Dec 08 2023

Maple

Digits := 60: A000167 := proc(n) round( evalf ( BesselK( n, 2 ) )); end;

Mathematica

Table[BesselK[n, 2] // Round, {n, 0, 21}] (* Jean-François Alcover, Mar 12 2014 *)

Prog

(PARI) a(n)=round(besselk(n, 2)) \\ Charles R Greathouse IV, Jul 29 2016

Crossrefs

Sequence in context: A224140 A360103 A370345 * A345750 A241785 A361447

Adjacent sequences: A000164 A000165 A000166 * A000168 A000169 A000170

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Herman P. Robinson

Status

approved