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

1, 0, 1, 2, 1, 0, 0, 2, 5, 8, 51, 36, 21, 8, 0, 0, 51, 138, 246, 362, 478, 6178, 4903, 3628, 2404, 1318, 478, 0, 0, 6178, 17259, 31968, 49081, 67512, 86421, 105330, 2290069, 1926320, 1562571, 1205000, 864688, 556344, 297081, 105330, 0

Offset

0,4

Links

Table of n, a(n) for n=0..44.

Formula

From Petros Hadjicostas, Feb 16 2021: (Start)

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

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

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

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

Example

Triangle T(i,j) (with rows i >= 0 and columns j = 0..i) begins:
     1;
     0,    1;
     2,    1,     0;
     0,    2,     5,     8;
    51,   36,    21,     8,     0;
     0,   51,   138,   246,   362,   478;
  6178, 4903,  3628,  2404,  1318,   478,     0;
     0, 6178, 17259, 31968, 49081, 67512, 86421, 105330;
... - Petros Hadjicostas, Feb 16 2021

Crossrefs

Cf. A059429, A059432.

Sequence in context: A261630 A301503 A378103 * A289358 A271698 A113263

Adjacent sequences: A059428 A059429 A059430 * A059432 A059433 A059434

Keyword

nonn,tabl,easy

Author

N. J. A. Sloane, Jan 31 2001

Status

approved