|
Search: id:A098832
|
|
|
| A098832 |
|
Square array read by antidiagonals: even-numbered rows of the table are of the form n*(n+m) and odd-numbered rows are of the form n*(n+m)/2. |
|
+0
6
|
|
| 1, 3, 3, 6, 8, 2, 10, 15, 5, 5, 15, 24, 9, 12, 3, 21, 35, 14, 21, 7, 7, 28, 48, 20, 32, 12, 16, 4, 36, 63, 27, 45, 18, 27, 9, 9, 45, 80, 35, 60, 25, 40, 15, 20, 5, 99, 44, 77, 33, 55, 22, 33, 11, 54, 96, 42, 72, 30, 48, 18, 117, 52, 91, 39, 65, 26, 63, 112, 49, 84, 35, 135, 60, 105
(list; table; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
The rows of this table and that in A098737 are related. Given a function f = n/(1+(1+n)mod(2)), row n of A098737 can be derived from row n of T by multiplying the latter by f(n); row n of T can be derived from row n of A098737 by dividing the latter by f(n).
|
|
FORMULA
|
Item m of row n of T is given (in infix form) by: n T m = n * (n + m) / (1 + m (mod 2)). E.g. Item 4 of row 3 of T: 3 T 4 = 14.
|
|
EXAMPLE
|
Array begins:
1 3 6 10 15
3 8 15 24 35
2 5 9 14 20
5 12 21 32 45
3 7 12 18 25
|
|
CROSSREFS
|
Rows 1 through 9 are A000217, A005563, A000096, A028347, A027379, A028560, A055999, A028566, A056000. Rows 10 through 19 are A098603, A056115, A098847, A056119, A098848, A056121, A098849, A056126, A098850, A051942. Columns 1 and 2 are A026741, A022998.
Sequence in context: A056508 A050065 A078477 this_sequence A107985 A114999 A021752
Adjacent sequences: A098829 A098830 A098831 this_sequence A098833 A098834 A098835
|
|
KEYWORD
|
easy,nonn,tabl
|
|
AUTHOR
|
Eugene McDonnell (eemcd(AT)mac.com), Nov 02 2004
|
|
|
Search completed in 0.002 seconds
|
