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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A006260 Second-order Eulerian numbers <>. (Formerly M5162) 7
 0, 24, 444, 4400, 32120, 195800, 1062500, 5326160, 25243904, 114876376, 507259276, 2189829808, 9292526920, 38917528600, 161343812980, 663661077072, 2713224461136, 11039636532120, 44751359547420, 180880752056880 (list; graph; refs; listen; history; text; internal format)
 OFFSET 3,2 REFERENCES R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics, 2nd edition. Addison-Wesley, Reading, MA, 1994, p. 270. N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Seiichi Manyama, Table of n, a(n) for n = 3..1000 I. Gessel and R. P. Stanley, Stirling polynomials, J. Combin. Theory, A 24 (1978), 24-33. FORMULA G.f.: x^4(24-36x-280x^2+652x^3-168x^4-288x^5)/((1-x)^4(1-2x)^3(1-3x)^2(1-4x)). - Michael Somos, Oct 13, 2002 a(n) = sum((-1)^(n+k+2)*binomial(2*n+1,k)*stirling1(2*n-k-3,n-k-3), k=0..n-4). [Johannes W. Meijer, Oct 16 2009]. MAPLE G:=x^4*(24-36*x-280*x^2+652*x^3-168*x^4-288*x^5)/((1-x)^4*(1-2*x)^3*(1-3*x)^2*(1-4*x)): Gser:=series(G, x=0, 27): seq(coeff(Gser, x^n), n=3..25); CROSSREFS a(n) = A008517(n, 4). 3rd column of A201637. Equals for n=>4 fifth right hand column of A163936. [Johannes W. Meijer, Oct 16 2009]. Sequence in context: A231318 A083195 A004358 * A187625 A024303 A060195 Adjacent sequences:  A006257 A006258 A006259 * A006261 A006262 A006263 KEYWORD nonn,easy AUTHOR EXTENSIONS More terms from Emeric Deutsch, Dec 15 2004 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 August 11 15:10 EDT 2022. Contains 356066 sequences. (Running on oeis4.)