OFFSET
1,2
COMMENTS
T(n,1) = t(n) = n*(n+1)/2 = A000217(n); T(n,n) = 1 - Emeric Deutsch, Oct 09 2006
LINKS
G. C. Greubel, Table of n, a(n) for the first 50 rows, flattened
FORMULA
T(n,1) = t(n) = n*(n+1)/2 = A000217(n); T(n,n) = 1. - Emeric Deutsch, Oct 09 2006
EXAMPLE
Triangle starts:
1;
3, 1;
6, 10, 1;
10, 36, 35, 1;
15, 91, 220, 126, 1;
MAPLE
t:=n->n*(n+1)/2: T:=proc(n, k) if k<=n then binomial(t(n)-t(k-1), k) else 0 fi end: for n from 1 to 10 do seq(T(n, k), k=1..n) od; # yields sequence in triangular form. - Emeric Deutsch, Oct 09 2006
MATHEMATICA
Table[Binomial[Binomial[n + 1, 2] - Binomial[k, 2], k], {n, 1, 10}, {k, 1, n}] // Flatten (* G. C. Greubel, Oct 19 2017 *)
PROG
(PARI) for(n=1, 10, for(k=1, n, print1(binomial(binomial(n+1, 2) - binomial(k, 2), k), ", "))) \\ G. C. Greubel, Oct 19 2017
CROSSREFS
KEYWORD
AUTHOR
Amarnath Murthy, Aug 12 2005
EXTENSIONS
More terms from Emeric Deutsch, Oct 09 2006
STATUS
approved