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A160048 Numerator of the Harary number for the path graph P_n. 2

%I #12 Oct 31 2017 18:10:49

%S 0,2,5,26,77,87,223,962,4609,4861,55991,58301,785633,811373,835397,

%T 3431678,29889983,30570663,197698279,201578155,41054655,13920029,

%U 325333835,990874363,25128807667,25472027467,232222818803,235091155703

%N Numerator of the Harary number for the path graph P_n.

%H Andrew Howroyd, <a href="/A160048/b160048.txt">Table of n, a(n) for n = 1..200</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/HararyIndex.html">Harary Index</a>

%e 0, 2, 5, 26/3, 77/6, 87/5, 223/10, 962/35, 4609/140, 4861/126, ...

%o (PARI)

%o harmonic(n)=sum(k=1,n,1/k);

%o a(n)=numerator(2*n*(harmonic(n)-1)); \\ _Andrew Howroyd_, Oct 31 2017

%Y Cf. A160049, A027612.

%K nonn,frac

%O 1,2

%A _Eric W. Weisstein_, Apr 30 2009

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Last modified August 18 11:16 EDT 2024. Contains 375265 sequences. (Running on oeis4.)