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Triangle T(n,k), read by rows, given by A000290 DELTA [1, 2, 6, 5, 11, 8, 16, 11, 21, 14, 26, 17, 31, 20, 36, ...] where DELTA is the operator defined in A084938.
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%I #7 Feb 22 2013 14:38:49

%S 1,0,1,0,1,3,0,5,20,21,0,61,287,445,231,0,1385,7244,13688,11206,3453,

%T 0,50521,285295,612556,631862,320159,65271,0,2702765,16195816,

%U 38143429,45667208,29860381,10300476,1491381

%N Triangle T(n,k), read by rows, given by A000290 DELTA [1, 2, 6, 5, 11, 8, 16, 11, 21, 14, 26, 17, 31, 20, 36, ...] where DELTA is the operator defined in A084938.

%F Row sums : A000657; median Euler numbers (the middle of Arnold's shuttle triangle) Columns : A000007; A000364 (Euler numbers)

%e Triangle begins:

%e 1;

%e 0, 1;

%e 0, 1, 3;

%e 0, 5, 20, 21;

%e 0, 61, 287, 445, 231;

%e 0, 1385, 7244, 13688, 11206, 3453;

%e 0, 50521, 285295, 612556, 631862, 320159, 65271;

%e 0, 2702765, 16195816, 38143429, 45667208, 29860381, 10300476, 1491381;

%Y Cf. A000290 A000364 A000657 A084938.

%K easy,nonn,tabl

%O 0,6

%A _Philippe Deléham_, Oct 29 2003, Nov 07 2007