A124458 Triangular array resulting from summing three repeated Pascal sequences; related to the generalized pentagonal sequence (A001318) and the classical modular tessellation (cf. A054886).

1, 2, 1, 3, 2, 1, 3, 4, 2, 1, 3, 5, 5, 2, 1, 3, 7, 7, 6, 2, 1, 3, 8, 12, 9, 7, 2, 1, 3, 10, 15, 18, 11, 8, 2, 1, 3, 11, 22, 24, 25, 13, 9, 2, 1, 3, 13, 26, 40, 35, 33, 15, 10, 2, 1

Offset: 1

Author

Alford Arnold, Nov 04 2006

Keywords

• easy
• nonn
• tabl

Comments

The third diagonal is the generalized pentagonal sequence A001318

Examples

			Consider
1.......1.......6.......6.......21......21....
........1.......1.......6.......6.......21....
................1.......1.......6.......6.....
which sums to
1.....2....8.....13....33....48....,
a diagonal of A124458
		

Crossrefs

Cf. A000012 A004526 A001651 A008805 A001318 A058187 A028724 A093039 A054886 (row sum).