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A059431 Triangle formed when cumulative boustrophedon transform is applied to 1, 0, 0, 0, ..., read by rows from left to right. 3

%I

%S 1,0,1,2,1,0,0,2,5,8,51,36,21,8,0,0,51,138,246,362,478,6178,4903,3628,

%T 2404,1318,478,0,0,6178,17259,31968,49081,67512,86421,105330,2290069,

%U 1926320,1562571,1205000,864688,556344,297081,105330,0

%N Triangle formed when cumulative boustrophedon transform is applied to 1, 0, 0, 0, ..., read by rows from left to right.

%F From _Petros Hadjicostas_, Feb 16 2021: (Start)

%F If 1 == i mod 2, then T(i,j) = A059432(i,j).

%F If 0 == i mod 2, then T(i,j) = A059432(i,i-j).

%F If 1 == i mod 2, then T(i,i) = A059432(i,i) = A059429(i).

%F If 0 == i mod 2, then T(i,0) = A059429(i,i) = A059429(i). (End)

%e Triangle T(i,j) (with rows i >= 0 and columns j = 0..i) begins:

%e 1;

%e 0, 1;

%e 2, 1, 0;

%e 0, 2, 5, 8;

%e 51, 36, 21, 8, 0;

%e 0, 51, 138, 246, 362, 478;

%e 6178, 4903, 3628, 2404, 1318, 478, 0;

%e 0, 6178, 17259, 31968, 49081, 67512, 86421, 105330;

%e ... - _Petros Hadjicostas_, Feb 16 2021

%Y Cf. A059429, A059432.

%K nonn,tabl,easy

%O 0,4

%A _N. J. A. Sloane_, Jan 31 2001

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Last modified September 20 14:44 EDT 2021. Contains 347586 sequences. (Running on oeis4.)