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A026042 a(n) = (d(n)-r(n))/5, where d = A026040 and r is the periodic sequence with fundamental period (4,0,4,3,4). 1

%I #9 Jun 13 2015 00:49:05

%S 4,8,12,19,28,40,56,74,97,124,156,194,236,285,340,402,472,548,633,726,

%T 828,940,1060,1191,1332,1484,1648,1822,2009,2208,2420,2646,2884,3137,

%U 3404,3686,3984,4296,4625,4970,5332,5712,6108,6523,6956,7408,7880,8370,8881,9412,9964,10538,11132,11749

%N a(n) = (d(n)-r(n))/5, where d = A026040 and r is the periodic sequence with fundamental period (4,0,4,3,4).

%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1,0,1,-3,3,-1).

%F a(n)=(n + 4)*(n^2 + 5*n + 18)/15 - 3/5 - (1/2 - 3/10*5^(1/2))/5*cos(2*n*Pi/5) + (1/10*(4*(5 + 5^(1/2))^(1/2) - (5 - 5^(1/2))^(1/2))*2^(1/2))/5*sin(2*n*Pi/5) - (3/10*5^(1/2) + 1/2)/5*cos(4*n*Pi/5) + (1/10*((5 + 5^(1/2))^(1/2) + 4*(5 - 5^(1/2))^(1/2))*2^(1/2))/5*sin(4*n*Pi/5) [From _Richard Choulet_, Dec 14 2008]

%F G.f. x*( 4-4*x+3*x^3-x^4-3*x^5+5*x^6-2*x^7 ) / ( (x^4+x^3+x^2+x+1)*(x-1)^4 ). - _R. J. Mathar_, Jun 22 2013

%Y A152856 [From _Richard Choulet_, Dec 14 2008]

%K nonn

%O 1,1

%A _Clark Kimberling_

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)