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!)
A259460 From higher-order arithmetic progressions. 1
4, 220, 10500, 535500, 30870000, 2044828800, 156029328000, 13673998800000, 1369285948800000, 155756276676000000, 20005336176265440000, 2884501462544301600000, 464334381775424160000000, 83021688624014300160000000, 16408769917253890176000000000, 3569104362241728159962112000000, 850861011640079911341911040000000 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Karl Dienger, Beiträge zur Lehre von den arithmetischen und geometrischen Reihen höherer Ordnung, Jahres-Bericht Ludwig-Wilhelm-Gymnasium Rastatt, Rastatt, 1910. [Annotated scanned copy]
MAPLE
rV := proc(n, a, d)
n*(n+1)/2*a+(n-1)*n*(n+1)/6*d;
end proc:
A259460 := proc(n)
mul(rV(i, a, d), i=1..n+2) ;
coeftayl(%, d=0, 2) ;
coeftayl(%, a=0, n) ;
end proc:
seq(A259460(n), n=1..18) ; # R. J. Mathar, Jul 14 2015
MATHEMATICA
rV[n_, a_, d_] := n (n + 1)/2*a + (n - 1) n (n + 1)/6*d;
A259460[n_] :=
Product[rV[i, a, d], {i, 1, n + 3}] //
SeriesCoefficient[#, {d, 0, 2}] & //
SeriesCoefficient[#, {a, 0, n + 1}] & ;
Table[A259460[n], {n, 0, 16}] (* Jean-François Alcover, Apr 27 2023, after R. J. Mathar *)
CROSSREFS
Sequence in context: A078693 A222421 A025420 * A227822 A052209 A211610
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Jun 30 2015
EXTENSIONS
Typos in data corrected by Jean-François Alcover, Apr 27 2023
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 June 22 22:30 EDT 2024. Contains 373622 sequences. (Running on oeis4.)