A163993 -id:A163993 - cp's OEIS frontend

A164002 Triangle read by rows in which each row contains a finite triangle as shown below.

1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, 2, 2, 1, 1, 2, 2, 2, 3, 2, 2, 3, 3, 2, 1, 2, 2, 2, 1, 1, 2, 2, 3, 3, 3, 3, 4, 4, 3, 2, 3, 4, 3, 2, 1, 2, 3, 3, 2, 1, 1, 2, 2, 3, 3, 3, 3, 4, 4, 3, 3, 4, 5, 4, 3, 2, 3, 4, 4, 3, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 2, 3, 3, 3, 3, 4, 4, 3, 3, 4, 5, 4, 3, 3, 4, 5, 5, 4, 3

Offset: 1

Omar E. Pol, Nov 10 2009

See also A159800.

			The main triangle begins:
1
1,1,1
1,2,2,1,2,1
1,2,2,2,3,2,1,2,2,1
1,2,2,2,3,2,2,3,3,2,1,2,2,2,1
1,2,2,3,3,3,3,4,4,3,2,3,4,3,2,1,2,3,3,2,1
1,2,2,3,3,3,3,4,4,3,3,4,5,4,3,2,3,4,4,3,2,1,2,3,3,3,2,1
1,2,2,3,3,3,3,4,4,3,3,4,5,4,3,3,4,5,5,4,3,2,3,4,4,4,3,2,1,2,3,3,3,3,2,1
In which row 1 contains a vertex, only:
1
Row 2 contains the triangle:
1
1,1
Row 3 contains the triangle:
1
2,2
1,2,1
Row 4 contains the triangle:
1
2,2
2,3,2
1,2,2,1
Row 5 contains the triangle:
1
2,2
2,3,2
2,3,3,2
1,2,2,2,1
Row 6 contains the triangle:
1
2,2
3,3,3
3,4,4,3
2,3,4,3,2
1,2,3,3,2,1
Row 7 contains the triangle:
1
2,2
3,3,3
3,4,4,3
3,4,5,4,3
2,3,4,4,3,2
1,2,3,3,3,2,1
Row 8 contains the triangle:
1
2,2
3,3,3
3,4,4,3
3,4,5,4,3
3,4,5,5,4,3
2,3,4,4,4,3,2
1,2,3,3,3,3,2,1
Row 9 contains the triangle:
1
2,2
3,3,3
4,4,4,4
4,5,5,5,4
4,5,6,6,5,4
3,4,5,6,5,4,3
2,3,4,5,5,4,3,2
1,2,3,4,4,4,3,2,1
Row 10 contains the triangle:
1
2,2
3,3,3
4,4,4,4
4,5,5,5,4
4,5,6,6,5,4
4,5,6,7,6,5,4
3,4,5,6,6,5,4,3
2,3,4,5,5,5,4,3,2
1,2,3,4,4,4,4,3,2,1
And so on...

Cf. A159800, A163993, A163994.

A163994 Triangle read by rows in which row n contains the first column of the n-th triangle of A164002.

Original entry on oeis.org

1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2, 1, 1, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 3, 3, 2, 1, 1, 2, 3, 4, 4, 4, 3, 2, 1, 1, 2, 3, 4, 4, 4, 4, 3, 2, 1, 1, 2, 3, 4, 4, 4, 4, 4, 3, 2, 1, 1, 2, 3, 4, 5, 5, 5, 5, 4, 3, 2, 1, 1, 2, 3, 4, 5, 5, 5, 5, 5, 4, 3, 2, 1, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5, 4, 3, 2, 1

Offset: 1

Omar E. Pol, Nov 10 2009

			Triangle begins:
1;
1, 1;
1, 2, 1;
1, 2, 2, 1;
1, 2, 2, 2, 1;
1, 2, 3, 3, 2, 1;
1, 2, 3, 3, 3, 2, 1;
1, 2, 3, 3, 3, 3, 2, 1;
1, 2, 3, 4, 4, 4, 3, 2, 1;
1, 2, 3, 4, 4, 4, 4, 3, 2, 1;
1, 2, 3, 4, 4, 4, 4, 4, 3, 2, 1;
1, 2, 3, 4, 5, 5, 5, 5, 4, 3, 2, 1;
1, 2, 3, 4, 5, 5, 5, 5, 5, 4, 3, 2, 1;
1, 2, 3, 4, 5, 5, 5, 5, 5, 5, 4, 3, 2, 1;

Cf. A159800, A163993, A164002.

cp's OEIS Frontend

A164002 Triangle read by rows in which each row contains a finite triangle as shown below.

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