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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
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 (list; table; graph; refs; listen; history; text; internal format)
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: A059220 A261630 A301503 * 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

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Last modified July 24 23:25 EDT 2021. Contains 346273 sequences. (Running on oeis4.)