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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A030647 Dimension of multiples of minimal representation of complex Lie algebra F4. 1
 26, 324, 2652, 16302, 81081, 342056, 1264120, 4188834, 12664184, 35405968, 92512368, 227854536, 532703874, 1189056024, 2546364040, 5253305915, 10477865970, 20265831300, 38111646300, 69848806950, 125012625075 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 REFERENCES Cf. table 5 of Seminar on Lie Groups and Algebraic Groups of Onishchik and Vinberg [ Springer Verlag 1990 ]. LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..1000 FORMULA 1/1617000*(2*n+11)*binomial(n+10, 3)*binomial(n+3, 3)*binomial(n+7, 4)^2 G.f.: (x+1)*(x^4+9*x^3+19*x^2+9*x+1)/(x-1)^16. - Vaclav Kotesovec, Oct 21 2012 MATHEMATICA Rest[CoefficientList[Series[(x+1)*(x^4+9*x^3+19*x^2+9*x+1)/(x-1)^16, {x, 0, 20}], x]] (* Vaclav Kotesovec, Oct 21 2012 *) PROG (PARI) x='x+O('x^66); Vec(-1 + (x+1)*(x^4+9*x^3+19*x^2+9*x+1)/(x-1)^16) \\ Joerg Arndt, May 04 2013 CROSSREFS Sequence in context: A015800 A276285 A232064 * A202292 A010942 A022621 Adjacent sequences: A030644 A030645 A030646 * A030648 A030649 A030650 KEYWORD nonn,easy AUTHOR Paolo Dominici (pl.dm(AT)libero.it) 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.

Last modified February 3 12:21 EST 2023. Contains 360035 sequences. (Running on oeis4.)