login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A203166 (n-1)-st elementary symmetric function of the first n terms of (1,2,3,4,5,1,2,3,4,5,...)=A010884. 1
1, 3, 11, 50, 274, 394, 908, 2964, 12576, 65760, 80160, 174720, 552960, 2298240, 11836800, 13564800, 28857600, 90028800, 370483200, 1893888000, 2101248000, 4409856000, 13644288000, 55821312000, 284083200000, 308966400000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..26.

FORMULA

Conjecture: G.f. x*(1+3*x+11*x^2+50*x^3+274*x^4+154*x^5+188*x^6+324*x^7+576*x^8) / (-1+120*x^5)^2  with a(n) = 240*a(n-5) -14400*a(n-10). - R. J. Mathar, Jul 02 2013

MATHEMATICA

f[k_] := 1 + Mod[k + 4, 5];

t[n_] := Table[f[k], {k, 1, n}]

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

Table[a[n], {n, 1, 33}]  (* A203166 *)

CROSSREFS

Cf. A010884, A203163.

Sequence in context: A115081 A103466 A230961 * A000254 A081048 A065048

Adjacent sequences:  A203163 A203164 A203165 * A203167 A203168 A203169

KEYWORD

nonn

AUTHOR

Clark Kimberling, Dec 30 2011

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy .

Last modified December 7 11:15 EST 2016. Contains 278872 sequences.