The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A059431 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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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.
(history; published version)

#14 by Michel Marcus at Wed Feb 17 02:06:01 EST 2021

STATUS

reviewed

approved

#13 by Joerg Arndt at Wed Feb 17 02:00:13 EST 2021

STATUS

proposed

reviewed

#12 by Petros Hadjicostas at Tue Feb 16 23:35:41 EST 2021

STATUS

editing

proposed

#11 by Petros Hadjicostas at Tue Feb 16 23:35:38 EST 2021

EXAMPLE

1; 0,1; 2,1,0; 0,2,5,8; 51,36,31,8,0; ...

STATUS

proposed

editing

#10 by Petros Hadjicostas at Tue Feb 16 22:23:59 EST 2021

STATUS

editing

proposed

Discussion

Tue Feb 16

23:34

Michel Marcus: remove 1; 0,1; 2,1,0; 0,2,5,8; 51,36,31,8,0; ... example line ?  since you made a triangle

#9 by Petros Hadjicostas at Tue Feb 16 22:22:15 EST 2021

FORMULA

If 0 1 == i mod 2, then T(i,j) = A059432(i,j).

If 1 0 == i mod 2, then T(i,j) = A059432(i,i-j).

If 0 1 == i mod 2, then T(i,i) = A059432(i,i) = A059429(i).

If 1 0 == i mod 2, then T(i,0) = A059429(i,i) = A059429(i). (End)

#8 by Petros Hadjicostas at Tue Feb 16 22:21:22 EST 2021

FORMULA

From Petros Hadjicostas, Feb 16 2021: (Start)

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

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

If 0 == i mod 2, then T(i,i) = A059432(i,i) = A059429(i).

If 1 == i mod 2, then T(i,0) = A059429(i,i) = A059429(i). (End)

#7 by Petros Hadjicostas at Tue Feb 16 21:33:27 EST 2021

EXAMPLE

...

... - Petros Hadjicostas, Feb 16 2021

#6 by Petros Hadjicostas at Tue Feb 16 21:32:17 EST 2021

EXAMPLE

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

#5 by Petros Hadjicostas at Tue Feb 16 21:31:11 EST 2021

EXAMPLE

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

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

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

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

...