|
%I #10 Mar 14 2015 10:01:46
%S 1,4,17,82,453,2855,20279,159972,1383544,12987671,131301747,
%T 1420538383,16358806638,199606632428,2570446661320,34814885202341,
%U 494470158654963,7344794248474716,113829232686474480
%N The r-th term of the n-th row of the following triangle is C[{T(n)-T(r-1)},r] where T(n) is the n-th triangular number. 1 3 1 6 10 1 10 36 35 1 ... Sequence contains the row sums.
%C The first term is T(n), the n-th term is 1.
%e For n = 4 the terms of the 4th row are C(10,1), C(9,2), C(7,3), C(4,4). 10, 36, 35, 1 and the sum is a(4) = 82.
%t A110771[n_] := Plus @@ Table[Binomial[Binomial[n + 1, 2] - Binomial[r, 2], r], {r, 1, n}]; Table[A110771[i], {i, 1, 25}] (* Keith Schneider, Jul 03 2007 *)
%Y Cf. A110768, A110769, A110770.
%K easy,nonn
%O 1,2
%A _Amarnath Murthy_, Aug 12 2005
%E More terms from Keith Schneider, Jul 03 2007
|
