OFFSET
1,3
LINKS
Andrew Howroyd, Table of n, a(n) for n = 1..1275
EXAMPLE
Triangle begins:
1;
1, 2;
1, 1, 3;
1, 3, 2, 5;
1, 2, 4, 3, 7;
1, 4, 6, 7, 5, 11;
1, 3, 7, 8, 11, 7, 15;
1, 5, 8, 16, 14, 17, 11, 22;
1, 4, 12, 14, 23, 21, 25, 15, 30;
1, 6, 12, 24, 29, 38, 33, 37, 22, 42;
...
T(4,2) = 3 since (4,2) can be bi-partitioned as (2,2) or ((1,1),(3,1)) or ((2,1),(2,1)).
T(5,3) = 4 since (5,3) can be bi-partitioned as ((1,1),(2,2)) or ((3,1),(1,2)) or ((1,1),(1,1),(3,1)) or ((1,1),(2,1),(2,1)).
PROG
(PARI)
P(k, w, n)={prod(i=1, k, 1 - x^(i*w) + O(x*x^(n-k*w)))}
T(n)={Vecrev(polcoef(prod(w=1, n, sum(k=0, n\w, (x*y)^(k*w)/P(k, w, n))), n)/y)}
{ for(n=1, 10, print(T(n))) } \\ Andrew Howroyd, Oct 23 2019
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Benoit Jubin, Apr 13 2008
EXTENSIONS
Terms a(57) and beyond from Andrew Howroyd, Oct 23 2019
STATUS
approved