A259461 From higher-order arithmetic progressions.

40, 5000, 472500, 43218000, 4148928000, 432170216000, 49514201000000

Offset

0,1

Comments

Only the first 5 terms in the publication are correct. The corrected sequence would start 40, 5000, 472500, 43218000, 4148928000, 432081216000, 49509306000000, 6275893932000000, 881135508052800000,... - R. J. Mathar, Jul 14 2015

Links

Table of n, a(n) for n=0..6.

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:
A259461 := proc(n)
    mul(rV(i, a, d), i=1..n+3) ;
    coeftayl(%, d=0, 3) ;
    coeftayl(%, a=0, n) ;
end proc:
seq(A259461(n), n=1..5) ; # R. J. Mathar, Jul 14 2015

Crossrefs

Sequence in context: A229604 A045502 A347854 * A229692 A270053 A123810

Adjacent sequences: A259458 A259459 A259460 * A259462 A259463 A259464

Keyword

nonn

Author

N. J. A. Sloane, Jun 30 2015

Status

approved