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Right edge of triangle in A059283.
2

%I #6 Jan 05 2017 02:54:34

%S 1,1,3,11,47,219,1081,5557,29439,159611,881405,4940385,28035205,

%T 160751005,929923395,5420717819,31809479855,187757573787,

%U 1114012352029,6640357243537,39746256802185,238796968208537,1439587364576015

%N Right edge of triangle in A059283.

%H G. C. Greubel, <a href="/A059284/b059284.txt">Table of n, a(n) for n = 0..1000</a>

%F G.f.: -(-2+(-3*w^2-6*w+1)^(1/2))/(1+w)^2.

%t T[0,0] = 1; T[n_,0] = 0; T[n_, k_] /; 0 <= k <= n := T[n, k] = T[n, k - 1] + T[n - 1, k - 1] + T[n - 1, k] + T[n - 2, k - 1]; T[_, _] = 0; Table[T[n,n], {n,0,25}] (* _G. C. Greubel_, Jan 04 2016 *)

%Y Cf. A059283, A059226.

%K nonn

%O 0,3

%A _N. J. A. Sloane_, Jan 24 2001