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A297497 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)=0, T(1,0)=1.

%I A297497 #23 Jan 01 2018 11:01:24
%S A297497 0,1,1,1,2,3,1,2,4,7,2,3,5,9,16,3,5,8,13,22,38,1,4,9,17,30,52,90,2,3,
%T A297497 7,16,33,63,115,205,4,6,9,16,32,65,128,243,448,7,11,17,26,42,74,139,
%U A297497 267,510,958,2,9,20,37,63,105,179,318,585,1095,2053,3,5,14
%N A297497 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)=0, T(1,0)=1.
%C A297497 Suggested by A297359.
%H A297497 Lars Blomberg, <a href="/A297497/b297497.txt">Table of n, a(n) for n = 0..9869</a> (The first 140 rows)
%e A297497 Triangle begins:
%e A297497 0,
%e A297497 1,1,
%e A297497 1,2,3,
%e A297497 1,2,4,7,
%e A297497 2,3,5,9,16,
%e A297497 3,5,8,13,22,38,
%e A297497 1,4,9,17,30,52,90,
%e A297497 2,3,7,16,33,63,115,205,
%e A297497 4,6,9,16,32,65,128,243,448,
%e A297497 7,11,17,26,42,74,139,267,510,958,
%e A297497 2,9,20,37,63,105,179,318,585,1095,2053,
%e A297497 3,5,14,34,71,134,239,418,736,1321,2416,4469,
%e A297497 5,8,13,27,61,132,266,505,923,1659,2980,5396,9865,
%e A297497 9,14,22,35,62,123,255,521,1026,1949,3608,6588,11984,21849,
%e A297497 16,25,39,61,96,158,281,536,1057,2083,4032,7640,14228,26212,48061,
%e A297497 ...
%Y A297497 Cf. A297359, A297498 (right edge), A297495, A297496, A297187 (row sums).
%K A297497 nonn,tabl
%O A297497 0,5
%A A297497 _N. J. A. Sloane_, Dec 31 2017
%E A297497 Terms a(28) and beyond from _Lars Blomberg_, Jan 01 2018