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 A108890 a(n) = floor(Product_{k=1..n} (Sum_{j=1..k} 1/j)). 1
 1, 1, 2, 5, 13, 32, 83, 225, 638, 1871, 5651, 17537, 55772, 181348, 601754, 2034368, 6997316, 24456376, 86764857, 312157366, 1137925574, 4199870789, 15683541837, 59220398058, 225982562259, 871031643495, 3389581971377, 13311468152196 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Robert Israel, Table of n, a(n) for n = 1..1214 MAPLE S:= ListTools:-PartialSums([seq(1/j, j=1..100)]): P:= 1: R:= 1; for k from 2 to 100 do P:= P * S[k]; R:= R, floor(P); od: R; # Robert Israel, Nov 23 2022 MATHEMATICA f[n_] := Floor[ Product[ Sum[1/j, {j, k}], {k, n}]]; Table[ f[n], {n, 28}] (* Robert G. Wilson v, Jul 18 2005 *) PROG (PARI) for(n=1, 50, print1(floor(prod(k=1, n, sum(j=1, k, 1/j))), ", ")) \\ Lambert Klasen, Jul 18 2005 CROSSREFS Cf. A097423, A097424. Floor(A097423/A097424). Sequence in context: A298535 A110320 A219230 * A220739 A337282 A366117 Adjacent sequences: A108887 A108888 A108889 * A108891 A108892 A108893 KEYWORD easy,nonn AUTHOR Leroy Quet, Jul 14 2005 EXTENSIONS More terms from Lambert Klasen (lambert.klasen(AT)gmx.net), Hauke Worpel (hw1(AT)email.com), Ryan Propper and Robert G. Wilson v, Jul 18 2005 STATUS approved

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Last modified June 14 23:20 EDT 2024. Contains 373401 sequences. (Running on oeis4.)