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

1,2

Comments

The third diagonal is the generalized pentagonal sequence A001318

Links

Table of n, a(n) for n=1..55.

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

Crossrefs

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

Sequence in context: A194959 A194921 A195079 * A199538 A324337 A002973

Adjacent sequences: A124455 A124456 A124457 * A124459 A124460 A124461

Keyword

easy,nonn,tabl

Author

Alford Arnold, Nov 04 2006

Status

approved