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A297495 Triangle T(n,k) (n>=0, 0<=k<=n) read by rows: use T(n,k)=T(n,k-1)+T(n-1,k-1) rule except left edge is the sequence read by rows, initial values are T(0,0)=T(1,0)=1.

%I A297495 #18 Jan 01 2018 11:01:03
%S A297495 1,1,2,2,3,5,2,4,7,12,3,5,9,16,28,5,8,13,22,38,66,2,7,15,28,50,88,154,
%T A297495 4,6,13,28,56,106,194,348,7,11,17,30,58,114,220,414,762,12,19,30,47,
%U A297495 77,135,249,469,883,1645,3,15,34,64,111,188,323,572,1041,1924
%N A297495 Triangle T(n,k) (n>=0, 0<=k<=n) read by rows: use T(n,k)=T(n,k-1)+T(n-1,k-1) rule except left edge is the sequence read by rows, initial values are T(0,0)=T(1,0)=1.
%C A297495 Suggested by A297359.
%H A297495 Lars Blomberg, <a href="/A297495/b297495.txt">Table of n, a(n) for n = 0..9869</a> (The first 140 rows)
%e A297495 Triangle begins:
%e A297495 1,
%e A297495 1,2,
%e A297495 2,3,5,
%e A297495 2,4,7,12,
%e A297495 3,5,9,16,28,
%e A297495 5,8,13,22,38,66,
%e A297495 2,7,15,28,50,88,154,
%e A297495 4,6,13,28,56,106,194,348,
%e A297495 7,11,17,30,58,114,220,414,762,
%e A297495 12,19,30,47,77,135,249,469,883,1645,
%e A297495 3,15,34,64,111,188,323,572,1041,1924,3569,
%e A297495 5,8,23,57,121,232,420,743,1315,2356,4280,7849,
%e A297495 9,14,22,45,102,223,455,875,1618,2933,5289,9569,17418,
%e A297495 16,25,39,61,106,208,431,886,1761,3379,6312,11601,21170,38588,
%e A297495 28,44,69,108,169,275,483,914,1800,3561,6940,13252,24853,46023,84611,
%e A297495 ...,
%Y A297495 Cf. A297359, A297496 (right edge), A297497, A297498, A297186 (row sums).
%K A297495 nonn,tabl
%O A297495 0,3
%A A297495 _N. J. A. Sloane_, Dec 31 2017
%E A297495 Terms a(21) and beyond from _Lars Blomberg_, Jan 01 2018