A214494 - OEIS

%I #5 Feb 22 2013 14:40:37

%S 1,1,1,1,1,1,2,1,3,1,4,3,1,5,7,1,6,12,1,7,18,12,1,8,25,30,1,9,33,55,1,

%T 10,49,88,55,1,11,59,137,143,1,12,70,196,280,1,13,82,266,476,280,1,14,

%U 95,358,742,756

%N Triangle read by rows ; T(n,k) = C(n,k) - 2*C(n,k-1) where C(n,k) is a binomial coefficient .

%e Triangle begins :

%e 1

%e 1

%e 1

%e 1, 1

%e 1, 2

%e 1, 3

%e 1, 4, 3

%e 1, 5, 7

%e 1, 6, 12

%e 1, 7, 18, 12

%e 1, 8, 25, 30

%e 1, 9, 33, 55

%e 1, 10, 49, 88, 55

%e 1, 11, 59, 137, 143

%e 1, 12, 70, 196, 280

%e 1, 13, 82, 266, 476, 280

%e 1, 14, 95, 348, 742, 756

%e 1, 15, 109, 443, 1090, 1498

%Y Cf. A007318, A008315

%K nonn,tabf

%O 0,7

%A _Philippe Deléham_, Jul 19 2012