A259461
From higher-order arithmetic progressions: Erroneous version of A378234.
Original entry on oeis.org
40, 5000, 472500, 43218000, 4148928000, 432170216000, 49514201000000
Offset: 0
A259459
From higher-order arithmetic progressions.
Original entry on oeis.org
1, 18, 360, 9000, 283500, 11113200, 533433600, 30862944000, 2121827400000, 171160743600000, 16020645600960000, 1722947613266880000, 211061082625192800000, 29223842209642080000000, 4542220046298654720000000, 787620956028186728448000000
Offset: 0
-
rV := proc(n,a,d)
n*(n+1)/2*a+(n-1)*n*(n+1)/6*d;
end proc:
A259459 := proc(n)
mul(rV(i,a,d),i=1..n+1) ;
coeftayl(%,d=0,1) ;
coeftayl(%,a=0,n) ;
end proc:
seq(A259459(n),n=1..15) ; # R. J. Mathar, Jul 14 2015
-
rV[n_, a_, d_] := n(n+1)/2*a + (n-1)n(n+1)/6*d;
A259459[n_] :=
Product[rV[i, a, d], {i, 1, n+2}] //
SeriesCoefficient[#, {d, 0, 1}]& //
SeriesCoefficient[#, {a, 0, n+1}]&;
Table[A259459[n], {n, 0, 14}] (* Jean-François Alcover, Apr 27 2023, after R. J. Mathar *)
A259460
From higher-order arithmetic progressions.
Original entry on oeis.org
4, 220, 10500, 535500, 30870000, 2044828800, 156029328000, 13673998800000, 1369285948800000, 155756276676000000, 20005336176265440000, 2884501462544301600000, 464334381775424160000000, 83021688624014300160000000, 16408769917253890176000000000, 3569104362241728159962112000000, 850861011640079911341911040000000
Offset: 0
-
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
-
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 *)
Showing 1-3 of 3 results.
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