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Array defined by T(i,1)=i, T(1,j)=2j, T(i,j)=T(i-1,j)+T(i-1,j-1) read by antidiagonals.
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%I #14 May 09 2023 15:36:39

%S 0,1,2,2,2,4,3,3,6,6,4,5,8,10,8,5,8,11,16,14,10,6,12,16,24,24,18,12,7,

%T 17,24,35,40,32,22,14,8,23,36,51,64,56,40,26,16,9,30,53,75,99,96,72,

%U 48,30,18,10,38,76,111,150,160,128,88,56,34,20,11,47,106,164,225,259,224,160,104,64,38,22

%N Array defined by T(i,1)=i, T(1,j)=2j, T(i,j)=T(i-1,j)+T(i-1,j-1) read by antidiagonals.

%C It seems to me that the recurrence should read: T(i,0)=i, T(0,j)=2j, T(i,j)=T(i-1,j)+T(i-1,j-1) rather than T(i,1)=i, T(1,j)=2j, T(i,j)=T(i-1,j)+T(i-1,j-1). Same for the related sequences, otherwise, is T(1,1) = 1 or 2? - Michael Forbes (mforbes(AT)alum.mit.edu), Sep 16 2005

%Y Cf. A036289 (main diagonal)

%K nonn,tabl

%O 1,3

%A _Benoit Cloitre_, Aug 12 2003