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A290347 Numerators of the Harary index for the n-halved cube graph. 1

%I #9 Jul 28 2017 09:45:40

%S 0,1,6,26,100,1096,3920,13936,16544,296256,1068672,11652352,42658304,

%T 1100471296,4079876096,15205967872,56939270144,642281037824,

%U 2423854317568,9177027411968,34846713511936,1459319692460032,5568939824513024,21297365878571008

%N Numerators of the Harary index for the n-halved cube graph.

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

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/HalvedCubeGraph.html">Halved Cube Graph</a>

%F a(n) = -2^(n-1)*HarmonicNumber(n)-2^(2*n-1)*Re(LerchPhi(2,1,n+1)).

%e First few terms are 0, 1, 6, 26, 100, 1096/3, 3920/3, 13936/3, 16544, 296256/5, ....

%t Table[-2^(n - 1) HarmonicNumber[n] - 2^(2 n - 1) Re[LerchPhi[2, 1, n + 1]], {n, 20}] // Numerator

%Y Cf. A290348 (denominators).

%K nonn,frac

%O 1,3

%A _Eric W. Weisstein_, Jul 28 2017

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