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Even elements in Pascal's triangle.
4

%I #20 Oct 26 2021 18:30:05

%S 2,4,6,4,10,10,6,20,6,8,28,56,70,56,28,8,36,84,126,126,84,36,10,120,

%T 210,252,210,120,10,330,462,462,330,12,66,220,792,924,792,220,66,12,

%U 78,286,1716,1716,286,78,14,364,2002,3432,2002,364,14,16,120,560,1820

%N Even elements in Pascal's triangle.

%H Rémy Sigrist, <a href="/A014428/b014428.txt">Table of n, a(n) for n = 1..10111</a>

%e Triangle begins:

%e 2

%e 4 6 4

%e 10 10

%t Select[ Flatten[ Table[ Binomial[ n, i ], {n, 0, 20}, {i, 0, n} ] ], EvenQ[ # ]& ]

%Y Cf. A007318, A014421, A048967.

%K nonn,easy,tabf

%O 1,1

%A _Mohammad K. Azarian_

%E More terms from _Erich Friedman_

%E Offset corrected by _Mohammad K. Azarian_, Nov 19 2008