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A259463
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From higher-order arithmetic progressions.
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1
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5, 550, 61250, 8330000, 318084480000, 88994505600000, 311969750400000000, 13537335651840000000, 7186069008518400000000, 4614893517270516480000000, 3548831033950800998400000000, 3237226357799023349760000000000, 3472842105575052965314560000000000
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history;
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OFFSET
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0,1
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LINKS
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Table of n, a(n) for n=0..12.
Karl Dienger, Beiträge zur Lehre von den arithmetischen und geometrischen Reihen höherer Ordnung, Jahres-Bericht Ludwig-Wilhelm-Gymnasium Rastatt, Rastatt, 1910. [Annotated scanned copy]
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FORMULA
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Conjecture: -6*n*(3*n+5)*a(n) +(n+5)*(n+4)*(3*n+8)*(n+3)^2*a(n-1)=0. - R. J. Mathar, Jul 15 2015
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MAPLE
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rXI := proc(n, a, d)
n*(n+1)*(n+2)/6*a+(n+2)*(n+1)*n*(n-1)/24*d;
end proc:
A259463 := proc(n)
mul(rXI(i, a, d), i=1..n+2) ;
coeftayl(%, d=0, 2) ;
coeftayl(%, a=0, n) ;
end proc:
seq(A259463(n), n=1..25) ; # R. J. Mathar, Jul 15 2015
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CROSSREFS
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Sequence in context: A302470 A303252 A112900 * A241802 A274081 A153404
Adjacent sequences: A259460 A259461 A259462 * A259464 A259465 A259466
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane, Jun 30 2015
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STATUS
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approved
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