A297495 - OEIS

%I #18 Jan 01 2018 11:01:03

%S 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 4,6,13,28,56,106,194,348,7,11,17,30,58,114,220,414,762,12,19,30,47,

%U 77,135,249,469,883,1645,3,15,34,64,111,188,323,572,1041,1924

%N 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 Suggested by A297359.

%H Lars Blomberg, <a href="/A297495/b297495.txt">Table of n, a(n) for n = 0..9869</a> (The first 140 rows)

%e Triangle begins:

%e 1,

%e 1,2,

%e 2,3,5,

%e 2,4,7,12,

%e 3,5,9,16,28,

%e 5,8,13,22,38,66,

%e 2,7,15,28,50,88,154,

%e 4,6,13,28,56,106,194,348,

%e 7,11,17,30,58,114,220,414,762,

%e 12,19,30,47,77,135,249,469,883,1645,

%e 3,15,34,64,111,188,323,572,1041,1924,3569,

%e 5,8,23,57,121,232,420,743,1315,2356,4280,7849,

%e 9,14,22,45,102,223,455,875,1618,2933,5289,9569,17418,

%e 16,25,39,61,106,208,431,886,1761,3379,6312,11601,21170,38588,

%e 28,44,69,108,169,275,483,914,1800,3561,6940,13252,24853,46023,84611,

%e ...,

%Y Cf. A297359, A297496 (right edge), A297497, A297498, A297186 (row sums).

%K nonn,tabl

%O 0,3

%A _N. J. A. Sloane_, Dec 31 2017

%E Terms a(21) and beyond from _Lars Blomberg_, Jan 01 2018