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

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A203159 (n-1)-st elementary symmetric function of {2,4,6,8,...,2n}. 1

%I #11 Nov 28 2017 11:35:51

%S 1,6,44,400,4384,56448,836352,14026752,262803456,5441863680,

%T 123436892160,3044235018240,81112101027840,2322150583173120,

%U 71092846618214400,2317820965473484800,80177108784198451200,2932996578806543155200

%N (n-1)-st elementary symmetric function of {2,4,6,8,...,2n}.

%F Conjecture: a(n) +2*(-2*n+1)*a(n-1) +4*(n-1)^2*a(n-2)=0. - _R. J. Mathar_, Oct 01 2016

%e (n-1)-st elementary symmetric function of {2,4,6,8,...,2n}.

%e Let esf abbreviate "elementary symmetric function". Then

%e 0th esf of {2}: 1

%e 1st esf of {2,4}: 2+4=6

%e 2nd esf of {2,4,6}: 2*4+2*6+4*6=44

%t f[k_] := 2 k; t[n_] := Table[f[k], {k, 1, n}]

%t a[n_] := SymmetricPolynomial[n - 1, t[n]]

%t Table[a[n], {n, 1, 16}] (* A203159 *)

%Y Cf. A004041.

%K nonn

%O 1,2

%A _Clark Kimberling_, Dec 29 2011

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 March 28 14:02 EDT 2024. Contains 371254 sequences. (Running on oeis4.)