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A213436 Principal diagonal of the convolution array A212891. 2

%I #9 Jun 17 2017 03:06:26

%S 1,17,84,260,625,1281,2352,3984,6345,9625,14036,19812,27209,36505,

%T 48000,62016,78897,99009,122740,150500,182721,219857,262384,310800,

%U 365625,427401,496692,574084,660185,755625,861056,977152,1104609

%N Principal diagonal of the convolution array A212891.

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).

%F a(n) = (11*n^4 + 6*n^3 - 5*n^2)/12.

%F a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5).

%F G.f.: x*(1 + 12*x + 9*x^2)/(1 - x)^5.

%t (See A212891.)

%Y Cf. A212891, A213500.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, Jun 16 2012

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Last modified April 25 10:01 EDT 2024. Contains 371967 sequences. (Running on oeis4.)