cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A187107 Number of nontrivial compositions of differential operations and directional derivative of the n-th order on the space R^9.

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%I A187107 #29 Oct 21 2017 21:01:39
%S A187107 8,8,9,10,12,15,20,28,41,62,96,151,240,384,617,994,1604,2591,4188,
%T A187107 6772,10953,17718,28664,46375,75032,121400,196425,317818,514236,
%U A187107 832047,1346276,2178316,3524585,5702894,9227472,14930359,24157824,39088176
%N A187107 Number of nontrivial compositions of differential operations and directional derivative of the n-th order on the space R^9.
%H A187107 Ivana Jovović and Branko Malešević, <a href="http://nntdm.net/volume-23-2017/number-1/28-38/">Some enumerations of non-trivial composition of the differential operations and the directional derivative</a>, Notes on Number Theory and Discrete Mathematics, Vol. 23, 2017, No. 1, 28-38.
%H A187107 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (2,0,-1).
%F A187107 a(n) = A000045(n) + 7.
%F A187107 a(n) = 2*a(n-1)-a(n-3). G.f.: -x*(7*x^2+8*x-8) / ((x-1)*(x^2+x-1)). [_Colin Barker_, Dec 14 2012]
%t A187107 LinearRecurrence[{2,0,-1},{8,8,9},50] (* _Harvey P. Dale_, Jul 10 2017 *)
%Y A187107 Cf. A000045.
%K A187107 nonn,easy
%O A187107 1,1
%A A187107 _Branko Malesevic_, Mar 06 2011