OFFSET
0,8
COMMENTS
This two-dimensional array is to Pascal's triangle as the Hofstadter Q-sequence A005185 is to Fibonacci's sequence.
Unlike the Hofstadter Q-sequence, it is very regular and admits a simple closed form: T(m, n) = 0 if n > m, T(m, n) = 1 if n <= m and m - n is even, T(m, n) = n + 1 if n <= m and m - n is odd.
EXAMPLE
For 0 <= m <= 6 and 0 <= n <= 6, the array looks like:
1,0,0,0,0,0,0
1,1,0,0,0,0,0
1,2,1,0,0,0,0
1,1,3,1,0,0,0
1,2,1,4,1,0,0
1,1,3,1,5,1,0
1,2,1,4,1,6,1
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Rob Arthan, Jan 06 2003
STATUS
approved