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A124458
Triangular array resulting from summing three repeated Pascal sequences; related to the generalized pentagonal sequence (A001318) and the classical modular tessellation (cf. A054886).
2
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
1,2
COMMENTS
The third diagonal is the generalized pentagonal sequence A001318
EXAMPLE
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
KEYWORD
easy,nonn,tabl
AUTHOR
Alford Arnold, Nov 04 2006
STATUS
approved