A085454 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.

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

Offset: 1

Author

Benoit Cloitre, Aug 12 2003

Keywords

• nonn
• tabl

Comments

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

Crossrefs

Cf. A036289 (main diagonal)