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A059503 The array in A059502 read by antidiagonals in 'up' direction.

%I A059503 #21 Sep 15 2017 08:13:22
%S A059503 1,2,3,3,5,9,4,7,14,27,5,9,19,40,80,6,11,24,53,114,234,7,13,29,66,148,
%T A059503 323,677,8,15,34,79,182,412,910,1941,9,17,39,92,216,501,1143,2551,
%U A059503 5523,10,19,44,105,250,590,1376,3161,7120,15615,11,21,49,118
%N A059503 The array in A059502 read by antidiagonals in 'up' direction.
%H A059503 G. C. Greubel, <a href="/A059503/b059503.txt">Table of n, a(n) for the first 50 rows, flattened</a>
%H A059503 <a href="/index/Bo#boustrophedon">Index entries for sequences related to boustrophedon transform</a>
%F A059503 T(n,k) = ((3 - k)*Fibonacci(2*k) + (5*n + 3*k)*Fibonacci(2*k - 1))/5. - _G. C. Greubel_, Sep 10 2017
%e A059503 The array begins
%e A059503 1 3 9 27 80 ...
%e A059503 2 5 14 40 ...
%e A059503 3 7 19 ...
%e A059503 4 9 5 ...
%t A059503 T[n_, k_] := ((3 - k)*Fibonacci[2*k] + (5*n + 3*k)*Fibonacci[2*k - 1])/5;
%t A059503 TableForm[Table[T[n, k], {n, 0, 5}, {k, 1, 5}]]
%t A059503 Table[T[n - k, k + 1], {n, 0, 10}, {k, 0, n}]//Flatten (* _G. C. Greubel_, Sep 10 2017 *)
%Y A059503 Rows give A059502, A059505, A059506, A059507, A059508; main diagonal = A059509.
%Y A059503 Cf. A000667, A059216, A059219.
%K A059503 nonn,tabl,nice,easy
%O A059503 0,2
%A A059503 _Floor van Lamoen_, Jan 19 2001