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A245213 Numbers n such that A245212(n) < n. 4

%I #14 Sep 08 2022 08:46:08

%S 72,96,120,144,180,192,216,240,288,336,360,384,432,480,504,528,540,

%T 576,600,624,648,672,720,756,768,792,840,864,900,936,960,972,1008,

%U 1056,1080,1120,1152,1176,1200,1224,1248,1260,1280,1296,1320,1344,1368,1440,1512

%N Numbers n such that A245212(n) < n.

%C Numbers n such that A245212(n) = (n * tau(n)) - Sum_((d<n) | n) (d * tau(d)) < n.

%C If d are divisors of n then values of sequence A245212(n) are the bending moments at point 0 of static forces of sizes tau(d) operating in places d on the cantilever as the nonnegative number axis of length n with support at point 0 by the schema: A245212(n) = (n * tau(n)) - Sum_((d<n) | n) (d * tau(d)).

%H Jens Kruse Andersen, <a href="/A245213/b245213.txt">Table of n, a(n) for n = 1..10000</a>

%e Number 72 is in sequence because A245212(72) = 62 < 72.

%o (Magma) [n: n in [1..100000] | (2*(n*(#[d: d in Divisors(n)]))-(&+[d*#([e: e in Divisors(d)]): d in Divisors(n)])) lt n]

%Y Cf. A000005, A100484, A245211, A245212, A245214.

%K nonn

%O 1,1

%A _Jaroslav Krizek_, Jul 23 2014

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Last modified August 9 04:25 EDT 2024. Contains 375027 sequences. (Running on oeis4.)