# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a024877 Showing 1-1 of 1 %I A024877 #9 Jan 23 2017 16:27:01 %S A024877 9,12,37,61,133,214,413,669,1208,1954,3394,5492,9309,15062,25131, %T A024877 40663,67147,108646,178181,288303,470670,761560,1239524,2005592, %U A024877 3257761,5271168,8550753 %N A024877 a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers >= 3), t = (Lucas numbers). %H A024877 Index entries for linear recurrences with constant coefficients, signature (1,3,-2,-1,-1,-3,2,1,1,1). %F A024877 G.f.: x^2*(-9+4*x^7+2*x^6+7*x^5+6*x^4-6*x^3+2*x^2-3*x) /((x^2+x-1)*(x^4+x^2-1)^2) [From Maksym Voznyy (voznyy(AT)mail.ru), Jul 28 2009] %t A024877 LinearRecurrence[{1,3,-2,-1,-1,-3,2,1,1,1},{9,12,37,61,133,214,413,669,1208,1954},30] (* _Harvey P. Dale_, Jan 23 2017 *) %K A024877 nonn %O A024877 2,1 %A A024877 _Clark Kimberling_ # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE