[go: up one dir, main page]

login
A125108
Column sums of a Gaussian polynomial-shaped array. Row sums generate the Eulerian array A008292.
1
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.
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.
KEYWORD
nonn,more
AUTHOR
Alford Arnold, Dec 25 2006
STATUS
approved