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

Author

Alford Arnold, Dec 25 2006

Keywords

• nonn
• more

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.

Examples

			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.