A000249 Nearest integer to modified Bessel function K_n(5). (Formerly M2859 N1150)

0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 10, 42, 193, 966, 5215, 30170, 186234, 1222065, 8496274, 62395234, 482700052, 3923995651, 33444263516, 298233514595, 2777192597789, 26959282453367, 272370017131462, 2859607460620573, 31156130591833647, 351808270089157421

Offset

0,10

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

G. C. Greubel, Table of n, a(n) for n = 0..500

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) = (2/5)*(n-1)*b(n-1) + b(n-2) where b(n) = K_n(5). - Christian Krause, Dec 09 2023

Maple

f := proc(n) round( evalf ( BesselK( n, 5 ) )); end;

Mathematica

Table[BesselK[n, 5] // Round, {n, 0, 25}] (* Jean-François Alcover, Feb 06 2016 *)

Prog

(PARI) a(n)=besselk(n, 5)\/1 \\ Charles R Greathouse IV, Oct 23 2023

Crossrefs

Sequence in context: A129878 A094558 A074511 * A107594 A094195 A091843

Adjacent sequences: A000246 A000247 A000248 * A000250 A000251 A000252

Keyword

nonn

Author

N. J. A. Sloane

Extensions

Definition improved by Sean A. Irvine, Mar 28 2010

Status

approved