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Irregular array related to the Euler numbers, read by rows, T_row(n) = A326722_row(2*n) + A326722_row(2*n+1) for n >= 0, T_row(-1) = [1].
2

%I #10 Aug 09 2019 07:02:04

%S 1,-1,1,1,2,-1,-4,1,2,-16,5,48,-10,-48,5,16,272,-61,-1088,183,1632,

%T -183,-1088,61,272,-7936,1385,39680,-5540,-79360,8310,79360,-5540,

%U -39680,1385,7936

%N Irregular array related to the Euler numbers, read by rows, T_row(n) = A326722_row(2*n) + A326722_row(2*n+1) for n >= 0, T_row(-1) = [1].

%e Triangle starts:

%e [-1] 1;

%e [0] -1, 1, 1;

%e [1] 2, -1, -4, 1, 2;

%e [2] -16, 5, 48, -10, -48, 5, 16;

%e [3] 272, -61, -1088, 183, 1632, -183, -1088, 61, 272;

%e [4] -7936, 1385, 39680, -5540, -79360, 8310, 79360, -5540, -39680, 1385, 7936;

%p print([1]); for n from 0 to 6 do

%p print([op(A326722_row(2*n)), 0] + A326722_row(2*n+1)) od:

%Y Central column is in A326720.

%Y Cf. A000364, A000182, A000111, A326722.

%K sign,tabf

%O -1,5

%A _Peter Luschny_, Aug 08 2019