A141746 -id:A141746 - cp's OEIS frontend

A141737 List of the 0's and 1's digits of triangle A141728 along a boustrophedon path. First case: see example below.

1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0

Offset: 1

Paolo P. Lava and Giorgio Balzarotti, Jul 02 2008

			First boustrophedon path:
................................/1.
.............................../_____
...............................0.0.0.\
............................._________\
.........................../.1.0.1.0.1.
.........................../______________
...........................0.0.1.1.0.0.0.\
.........................__________________\
......................./.1.0.0.1.0.0.1.0.1
......................./_____________________
.......................0.0.0.0.0.0.0.0.1.1.1

Cf. A141727 - A141736, A141738 - A141746.

A141738 List of the 0's and 1's digits of triangle A141728 along a boustrophedon path. Second case: see example below.

Original entry on oeis.org

1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0

Offset: 1

Paolo P. Lava and Giorgio Balzarotti, Jul 02 2008

			Second boustrophedon path:
.................................1\
...............................____\
............................../0.0.0.
............................./________
.............................1.0.1.0.1\
............................___________\
........................../0.0.1.1.0.0.0
........................./________________
.........................1.0.0.1.0.0.1.0.1\
........................___________________\
.......................0.0.0.0.0.0.0.0.1.1.1

Cf. A141727 - A141737, A141739 - A141746.

A141739 Cumulative sums of the rows of triangle A141727.

Original entry on oeis.org

1, 3, 5, 8, 14, 18, 23, 31, 39, 47, 55, 65, 74, 86, 98, 113, 131, 145, 161, 177, 193, 209, 227, 243, 260

Offset: 0

Paolo P. Lava, Jul 03 2008

Cf. A141727 - A141738, A141740 - A141746.

A141740 Cumulative sum of the rows of triangle A141728.

Original entry on oeis.org

1, 1, 4, 6, 10, 13, 19, 28, 35, 42, 51, 59, 70, 78, 91, 107, 125, 139, 153, 167, 189, 209, 229, 254, 276

Offset: 0

Paolo P. Lava, Jul 03 2008

Cf. A141727 - A141739, A141741 - A141746.

A141741 Starting from the 1 in the first line of triangle A141727 choose one of the three digits below it. Repeat down to the other rows. Sequence gives the numbers in base 10 expressed by the collected digits that cannot be reached following any possible path.

Original entry on oeis.org

35, 41, 45, 70, 71, 78, 82, 83, 90, 91, 94, 110

Offset: 0

Paolo P. Lava and Giorgio Balzarotti, Jul 07 2008

			35 in binary is 100011. We do not have any path starting from the 1 in the first row that leads to this sequence of digits.

Cf. A141727 - A141740, A141742 - A141746.

A141745 Numbers of 0's in the rows of triangle A141743.

Original entry on oeis.org

1, 1, 2, 4, 7, 8, 8, 8, 10, 10, 8, 13, 15, 13, 18, 14, 23, 19, 17, 21, 25, 23, 25, 26, 26, 26, 27, 29, 32, 33, 35, 29, 37, 27, 33, 41, 37, 37, 41, 37, 43, 43, 41, 47, 53, 47, 47, 44, 60, 54, 57

Offset: 0

Paolo P. Lava and Giorgio Balzarotti, Jul 07 2008

Cf. A141727 - A141744, A141746.

A141742 Starting from the 1 in the first line of triangle A141728 choose one of the three digits below it. Repeat down to the other rows. Sequence gives the numbers in base 10 expressed by the collected digits that cannot be reached following any possible path.

Original entry on oeis.org

3, 6, 7, 12, 13, 14, 15, 24, 25, 26, 27, 28, 29, 30

Offset: 0

Paolo P. Lava and Giorgio Balzarotti, Jul 07 2008

			Below the 1 in the first row we have three 0. Therefore we cannot have "11", 3 in base 10.

Cf. A004755, A141727 - A141741, A141743 - A141746.

A141744 Numbers of 1's in the rows of triangle A141743.

Original entry on oeis.org

0, 2, 3, 3, 2, 3, 5, 7, 7, 9, 13, 10, 10, 14, 11, 17, 10, 16, 20, 18, 16, 20, 20, 21, 23, 25, 26, 26, 25, 26, 26, 34, 28, 40, 36, 30, 36, 38, 36, 42, 38, 40, 44, 40, 36, 44, 46, 51, 37, 45, 44

Offset: 0

Paolo P. Lava and Giorgio Balzarotti, Jul 07 2008

Cf. A141727 - A141743, A141745, A141746.

cp's OEIS Frontend

A141737 List of the 0's and 1's digits of triangle A141728 along a boustrophedon path. First case: see example below.

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A141738 List of the 0's and 1's digits of triangle A141728 along a boustrophedon path. Second case: see example below.

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A141739 Cumulative sums of the rows of triangle A141727.

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A141740 Cumulative sum of the rows of triangle A141728.

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A141741 Starting from the 1 in the first line of triangle A141727 choose one of the three digits below it. Repeat down to the other rows. Sequence gives the numbers in base 10 expressed by the collected digits that cannot be reached following any possible path.

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A141745 Numbers of 0's in the rows of triangle A141743.

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A141742 Starting from the 1 in the first line of triangle A141728 choose one of the three digits below it. Repeat down to the other rows. Sequence gives the numbers in base 10 expressed by the collected digits that cannot be reached following any possible path.

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Keywords

Examples

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A141744 Numbers of 1's in the rows of triangle A141743.

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