|
Search: id:A081205
|
|
|
| A081205 |
|
Staircase on Pascal's triangle. |
|
+0
2
|
|
| 1, 3, 10, 20, 70, 126, 462, 792, 3003, 5005, 19448, 31824, 125970, 203490, 817190, 1307504, 5311735, 8436285, 34597290, 54627300, 225792840, 354817320, 1476337800, 2310789600, 9669554100, 15084504396, 63432274896, 98672427616
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
Arrange Pascal's triangle as a square array. A081204 is then a diagonal staircase on the square array. The steps are (1,3),(10,20),(70,126),(462,792),....
|
|
FORMULA
|
a(n)=binomial(ceiling((n+1)/2)+(n+1), n).
|
|
CROSSREFS
|
Cf. A065942, A081181, A081204.
Sequence in context: A098645 A089693 A005997 this_sequence A092305 A073604 A004194
Adjacent sequences: A081202 A081203 A081204 this_sequence A081206 A081207 A081208
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Mar 11 2003
|
|
|
Search completed in 0.002 seconds
|
