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%I A030434 #8 Jun 13 2015 00:49:11
%S A030434 -42,-15,-4,-1,2,13,40,91,174,297,468,695,986,1349,1792,2323,2950,
%T A030434 3681,4524,5487,6578,7805,9176,10699,12382,14233,16260,18471,20874,
%U A030434 23477,26288,29315,32566,36049,39772,43743
%N A030434 Values of Newton-Gregory forward interpolating polynomial (1/3)*(2*n-7)*(2*n^2-11*n+18).
%H A030434 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F A030434 a(n) - A177342(n-3) = (n-3)^2, with n>3. For n = 8, a(8) - A177342(5) = 174 - 149 = 5^2. [From _Bruno Berselli_, May 23 2010]
%F A030434 G.f.: ( -42+153*x-196*x^2+93*x^3 ) / (x-1)^4 . - _R. J. Mathar_, May 18 2014
%Y A030434 Equals A030441 shifted right twice.
%Y A030434 Cf. A177342 [From _Bruno Berselli_, May 23 2010]
%K A030434 sign,easy
%O A030434 0,1
%A A030434 Ilias.Kotsireas(AT)lip6.fr (Ilias Kotsireas)

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