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A114283 Sequence array for binomial transform of Jacobsthal numbers A001045(n+1).

%I A114283 #9 Jul 13 2013 12:03:22
%S A114283 1,2,1,6,2,1,18,6,2,1,54,18,6,2,1,162,54,18,6,2,1,486,162,54,18,6,2,1,
%T A114283 1458,486,162,54,18,6,2,1,4374,1458,486,162,54,18,6,2,1,13122,4374,
%U A114283 1458,486,162,54,18,6,2,1,39366,13122,4374,1458,486,162,54,18,6,2,1
%N A114283 Sequence array for binomial transform of Jacobsthal numbers A001045(n+1).
%C A114283 Sequence array for A025192. Row sums are 3^n, A000244. Diagonal sums are A015518(n+1). Inverse is A114284.
%H A114283 Reinhard Zumkeller, <a href="/A114283/b114283.txt">Rows n = 0..120 of triangle, flattened</a>
%F A114283 Riordan array ((1-x)/(1-3x), x).
%e A114283 Triangle begins
%e A114283 1;
%e A114283 2,1;
%e A114283 6,2,1;
%e A114283 18,6,2,1;
%e A114283 54,18,6,2,1;
%e A114283 162,54,18,6,2,1;
%o A114283 (Haskell)
%o A114283 a114283 n k = a114283_tabl !! n !! k
%o A114283 a114283_row n = a114283_tabl !! n
%o A114283 a114283_tabl = iterate
%o A114283    (\row -> (sum $ zipWith (+) row $ reverse row) : row) [1]
%o A114283 -- _Reinhard Zumkeller_, Nov 27 2012
%K A114283 easy,nonn,tabl
%O A114283 0,2
%A A114283 _Paul Barry_, Nov 20 2005