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a(n) = Sum{(k+1)*T(n,k)}, 0<=k<=n, T given by A026374.
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%I #9 Oct 13 2012 10:41:43

%S 1,3,10,25,75,175,500,1125,3125,6875,18750,40625,109375,234375,625000,

%T 1328125,3515625,7421875,19531250,41015625,107421875,224609375,

%U 585937500,1220703125,3173828125,6591796875,17089843750,35400390625

%N a(n) = Sum{(k+1)*T(n,k)}, 0<=k<=n, T given by A026374.

%F (n+2)[7+3(-1)^n]/4 * 5^[(n-1)/2].

%F Conjecture: a(n) = 10*a(n-2)-25*a(n-4). G.f.: -(5*x^3-3*x-1)/(5*x^2-1)^2. [_Colin Barker_, Oct 13 2012]

%K nonn

%O 0,2

%A _Clark Kimberling_