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 A090294 a(n) = K_3(n) = Sum_{k>=0} A090285(3,k)*2^k*binomial(n,k). a(n) = (4*n^3+30*n^2+56*n+15)/3. 2

%I

%S 5,35,93,187,325,515,765,1083,1477,1955,2525,3195,3973,4867,5885,7035,

%T 8325,9763,11357,13115,15045,17155,19453,21947,24645,27555,30685,

%U 34043,37637,41475,45565,49915,54533,59427,64605,70075,75845,81923,88317

%N a(n) = K_3(n) = Sum_{k>=0} A090285(3,k)*2^k*binomial(n,k). a(n) = (4*n^3+30*n^2+56*n+15)/3.

%C Values of polynomial K_3 related to A090285.

%F O.g.f.: 8/(-1+x)^4+5/(-1+x)-2/(-1+x)^2-4/(-1+x)^3 . - _R. J. Mathar_, Feb 26 2008

%p A090294:=n->(4*n^3+30*n^2+56*n+15)/3; seq(A090294(n), n=0..100); # _Wesley Ivan Hurt_, Dec 19 2013

%t Table[(4 n^3 + 30 n^2 + 56 n + 15)/3, {n, 0, 100}] (* _Wesley Ivan Hurt_, Dec 19 2013 *)

%Y Cf. A090285.

%K easy,nonn

%O 0,1

%A _Philippe DelĂ©ham_, Jan 25 2004

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Last modified June 22 11:17 EDT 2021. Contains 345375 sequences. (Running on oeis4.)