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A112810 Records in A110566 (lcm{1,2,...,n}/denominator of harmonic number H(n)). 3
1, 3, 15, 45, 77, 275, 931, 1725, 1935, 5805, 29025, 41175, 166803, 1039533, 1162047, 91801713, 419498967, 2183383175, 19691916585, 216611082435, 2382721906785, 113804487945521, 22211221792244703, 422013214052649357, 425137351586922079, 936039253001457601 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..28

FORMULA

a(n) = A110566(A112809(n)).

MATHEMATICA

c = 0; a = h = 1; t = {}; Do[a = LCM[a, n]; h = h + 1/n; b = a/Denominator[h]; If[b > c, c = b; AppendTo[t, b]], {n, 10^6}]; t

PROG

(PARI) lista(nn) = {rec = 0; for (n=1, nn, new = lcm(vector(n, k, k))/denominator(sum(k=1, n, 1/k)); if (new > rec, print1(new, ", "); rec = new); ); } \\ Michel Marcus, Mar 07 2018

CROSSREFS

Cf. A110566, A001008, A002805, A003418, A025529, A098464, A112809.

Sequence in context: A196237 A177146 A161400 * A334078 A094191 A050534

Adjacent sequences:  A112807 A112808 A112809 * A112811 A112812 A112813

KEYWORD

nonn

AUTHOR

Robert G. Wilson v, Sep 19 2005

EXTENSIONS

a(25)-a(26) from Max Alekseyev, Nov 29 2013

STATUS

approved

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Last modified June 14 15:19 EDT 2021. Contains 345025 sequences. (Running on oeis4.)