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%I #22 Sep 08 2022 08:46:03
%S 2186,75938,745418,3959426,14704202,43261346,108110858,239479298,
%T 483533066,907216802,1603736906,2698690178,4356837578,6789523106,
%U 10262737802,15105828866,21720853898,30592580258,42299129546,57523267202,77064337226,101850842018
%N First differences of A016759.
%H Bruno Berselli, <a href="/A215960/b215960.txt">Table of n, a(n) for n = 0..1000</a>
%H Philippe A. J. G. Chevalier, <a href="https://www.researchgate.net/publication/236594822_On_the_discrete_geometry_of_physical_quantities">On the discrete geometry of physical quantities</a>, Preprint, 2012.
%H Philippe A. J. G. Chevalier, <a href="https://www.researchgate.net/profile/Philippe_Chevalier2/publication/262067273">A "table of Mendeleev" for physical quantities?</a>, Slides from a talk, May 14 2014, Leuven, Belgium.
%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1).
%F G.f.: 2*(1093+30318*x+129879*x^2+129844*x^3+30339*x^4+1086*x^5+x^6)/(1-x)^7. [_Bruno Berselli_, Aug 29 2012]
%F a(n) = 2*(7*t*(t*(t+17)+91)+1093), where t=4*n*(n+2). [_Bruno Berselli_, Aug 29 2012]
%t LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {2186, 75938, 745418, 3959426, 14704202, 43261346, 108110858}, 22] (* _Bruno Berselli_, Aug 29 2012 *)
%o (Magma) [2*(7*t*(t*(t+17)+91)+1093) where t is 4*n*(n+2): n in [0..21]]; // _Bruno Berselli_, Aug 29 2012
%Y Cf. A016759.
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_, Aug 28 2012