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A037951 binomial(n,[ (n-3)/2 ]). 3
0, 0, 0, 1, 1, 5, 6, 21, 28, 84, 120, 330, 495, 1287, 2002, 5005, 8008, 19448, 31824, 75582, 125970, 293930, 497420, 1144066, 1961256, 4457400, 7726160, 17383860, 30421755, 67863915, 119759850, 265182525 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

LINKS

Table of n, a(n) for n=0..31.

FORMULA

E.g.f.: Bessel_I(3,2x)+Bessel_I(4,2x) - Paul Barry, Feb 28 2006

Conjecture: -(n+4)*(n-3)*a(n) +(-n^2+3*n+12)*a(n-1) +2*(2*n+1)*(n-1)*a(n-2) +4*(n-1)*(n-2)*a(n-3)=0. - R. J. Mathar, Nov 24 2012

MATHEMATICA

Table[Binomial[n, Floor[(n-3)/2]], {n, 0, 40}] (* Harvey P. Dale, Jul 09 2017 *)

CROSSREFS

Sequence in context: A259775 A057520 A060423 * A095308 A132796 A006492

Adjacent sequences:  A037948 A037949 A037950 * A037952 A037953 A037954

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified August 24 03:51 EDT 2019. Contains 326260 sequences. (Running on oeis4.)