OFFSET
1,4
COMMENTS
FORMULA
T(1,1)=1; n > 1 and k=1: T(n,1) = T(n-1,2) + T(n,2); k=2: T(n,2) = A000196(n-1); k > 2: T(n,k) = (Sum_{i=1..k-1} T(n-i,k-1)) - (Sum_{i=1..k-1} T(n-i,k)).
EXAMPLE
Triangle begins:
1;
1, 1;
2, 1, 1;
2, 1, 1, 1;
3, 2, 0, 1, 1;
4, 2, 2, 0, 1, 1;
4, 2, 2, 1, 0, 1, 1;
4, 2, 0, 2, 1, 0, 1, 1;
4, 2, 2, 1, 1, 1, 0, 1, 1;
5, 3, 2, 0, 1, 1, 1, 0, 1, 1;
6, 3, 1, 1, 1, 0, 1, 1, 0, 1, 1;
PROG
(Excel) Using European dot comma style:
=if(and(row()=1; column()=1); 1; if(row()>=column(); if(column()=1; indirect(address(row()-1; column()+1))+indirect(address(row(); column()+1)); if(column()=2; floor(((row()-1)^0, 5); 1); if(row()>=column(); sum(indirect(address(row()-column()+1; column()-1; 4)&":"&address(row()-1; column()-1; 4); 4))-sum(indirect(address(row()-column()+1; column(); 4)&":"&address(row()-1; column(); 4); 4)); 0))); 0))
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Mats Granvik, Jul 09 2010
STATUS
approved