OFFSET
0,2
COMMENTS
(For row n=0,1,2,3,4,5 : Sum of digits = Pascal triangle)
FORMULA
T(n,0)=100^n, T(n,n)=1, T(n,k)=T(n-1,k-1)+T(n-1,k) for 0<k<n. - Philippe Deléham, Dec 27 2013
T(n,k)=101*T(n-1,k)+T(n-1,k-1)-100*T(n-2,k)-100*T(n-2,k-1), T(0,0)=1, T(1,0)=100, T(1,1)=1, T(n,k)=0 if k<0 or if k>n. - Philippe Deléham, Dec 27 2013
EXAMPLE
Triangle begins:
1
100,1
10000,101,1
1000000,10101,102,1
100000000,1010101,10203,103,1
10000000000,101010101,1020304,10306,104,1
1000000000000,10101010101,102030405,1030610,10410,105,1
100000000000000,1010101010101,10203040506,103061015,1041020,10515,106,1
10000000000000000,101010101010101,1020304050607,10306101521,104102035,1051535,10621,107,1,
CROSSREFS
KEYWORD
AUTHOR
Mark Dols, Aug 28 2009
STATUS
approved