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%I A007183 M0550 #43 Mar 03 2024 04:01:55
%S A007183 0,0,0,1,2,3,4,6,8,10,12,15,16,19,22,25,27,30,32,35,37,40,42,45,48,51,
%T A007183 54,57,60,63,66,69,72,75,78,81,84,87,90,93,96,99,102,105,108,111,114,
%U A007183 117,120,123,126,129,132,135,138,141,144,147,150,153,156,159,162
%N A007183 Maximal splittance of a planar graph with n nodes.
%D A007183 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A007183 Stefano Spezia, <a href="/A007183/b007183.txt">Table of n, a(n) for n = 0..10000</a> (missing a(9991) inserted by Sidney Cadot, Jan 03 2023)
%H A007183 P. L. Hammer and B. Simeone, <a href="https://doi.org/10.1007/BF02579333">The splittance of a graph</a>, Combinatorica, 1 (1981), 275-284.
%H A007183 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1).
%F A007183 a(n) = 3*n - 27 for n >= 23 [from Hammer and Simeone]. - _Sean A. Irvine_, Nov 12 2017
%F A007183 From _Stefano Spezia_, Jul 12 2022: (Start)
%F A007183 G.f.: x^3*(1 + x^4 + x^8 - 2*x^9 + 2*x^10 - x^13 + x^14 - x^15 + x^16 - x^17 + x^18 - x^19 + x^20)/(1 - x)^2.
%F A007183 a(n) = 2*a(n-1) - a(n-2) for n >= 23. (End)
%t A007183 LinearRecurrence[{2,-1},{0,0,0,1,2,3,4,6,8,10,12,15,16,19,22,25,27,30,32,35,37,40,42,45},70] (* _Harvey P. Dale_, Mar 14 2023 *)
%K A007183 nonn,nice,easy
%O A007183 0,5
%A A007183 _N. J. A. Sloane_, _Simon Plouffe_
%E A007183 Title improved by _Sean A. Irvine_, Nov 12 2017

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