A125108 Column sums of a Gaussian polynomial-shaped array. Row sums generate the Eulerian array A008292.

1, 2, 4, 10, 26, 72, 202, 580

Offset

1,2

Comments

Column sums of the Gaussian polynomial template count numeric partitions. Row sums of the Gaussian polynomial template generate Pascal's triangle. A105552 has the same shape as the template and counts compositions. Row sums of the Eulerian array counts permutations of n object.

Links

Table of n, a(n) for n=1..8.

Example

The column sums begin 1 2 4 10 26 72 202 580 ... because the structure of the Array begin as follows:
1..................................................................
......1............................................................
......1............................................................
............1......................................................
............2......2...............................................
............1......................................................
..................1................................................
..................3......5......3..................................
..................3......5......3..................................
..................1................................................
............................1......................................
............................4.......9.......9.......4..............
............................6.......16......22......16.......6.....
............................4.......9.......9.......4..............
............................1......................................
etc.

Crossrefs

Cf. A000041, A000079, A000142, A007318, A008292, A047970, A060351, A105552.

Sequence in context: A149812 A149813 A149814 * A075864 A180023 A154835

Adjacent sequences: A125105 A125106 A125107 * A125109 A125110 A125111

Keyword

nonn,more

Author

Alford Arnold, Dec 25 2006

Status

approved