OFFSET
1,3
COMMENTS
Sum of n-th row terms = (2^n - 1) (see solution in Fibonacci Quarterly).
LINKS
Jyoti P. Shiwalker and M. N. Despande, Problem B-1033, Fibonacci Quarterly, Vol. 45, Number 2; 2007; p. 181.
Russ Euler and Jawad Sadek, editors, Elementary Problems and Solutions, Fibonacci Quarterly, Vol. 45, Number 4; 2007; p. 181.
EXAMPLE
First few rows of the triangle are:
1;
1, 2;
2, 2, 3;
3, 5, 3, 4;
5, 8, 9, 4, 5;
8, 15, 15, 14, 5, 6;
13, 26, 31, 24, 20, 6, 7;
21, 46, 57, 54, 5, 27, 7, 8;
...
PROG
(PARI) t(i, j) = {if ((i <= 0) || (j <= 0), 0, if (j == 1, fibonacci(i), if (i == j, i, t(i-1, j) + t(i-2, j) + t(i-1, j-1) - t(i-2, j-1); ); ); ); }
tabl(nn) = {for (n=1, nn, for (k=1, n, print1(t(n, k), ", "); ); ); } \\ Michel Marcus, Feb 11 2014
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson, May 01 2008
EXTENSIONS
More terms from Michel Marcus, Feb 11 2014
STATUS
approved