login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A004317 Binomial coefficient C(2n,n-11). 0
1, 24, 325, 3276, 27405, 201376, 1344904, 8347680, 48903492, 273438880, 1471442973, 7669339132, 38910617655, 192928249296, 937845656300, 4481381406320, 21094923659355, 97997533741800, 449972009097765, 2044802197953900, 9206478467454345, 41107996877935680 (list; graph; refs; listen; history; text; internal format)
OFFSET

11,2

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. 828.

LINKS

Table of n, a(n) for n=11..32.

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].

Milan Janjic, Two Enumerative Functions

Milan Janjic and B. Petkovic, A Counting Function, arXiv preprint arXiv:1301.4550 [math.CO], 2013. - N. J. A. Sloane, Feb 13 2013

Milan Janjic and B. Petkovic, A Counting Function Generalizing Binomial Coefficients and Some Other Classes of Integers, J. Int. Seq. 17 (2014), Article 14.3.5.

FORMULA

-(n-11)*(n+11)*a(n) + 2*n*(2*n-1)*a(n-1) = 0. - R. J. Mathar, Jan 24 2018

E.g.f.: BesselI(11,2*x)*exp(2*x). - Ilya Gutkovskiy, Jun 28 2019

From Amiram Eldar, Aug 27 2022: (Start)

Sum_{n>=11} 1/a(n) = 338662421/23279256 - 67*Pi/(9*sqrt(3)).

Sum_{n>=11} (-1)^(n+1)/a(n) = 3817214*log(phi)/(5*sqrt(5)) - 1471028205721/8953560, where phi is the golden ratio (A001622). (End)

MATHEMATICA

Table[Binomial[2n, n-11], {n, 11, 30}] (* Harvey P. Dale, Aug 02 2015 *)

CROSSREFS

Cf. A001622.

Sequence in context: A022652 A292298 A138453 * A295250 A295649 A188779

Adjacent sequences: A004314 A004315 A004316 * A004318 A004319 A004320

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 3 09:50 EST 2022. Contains 358517 sequences. (Running on oeis4.)