|
| |
|
|
A211370
|
|
Array read by antidiagonals: T(m,n) = Sum( n <= i <= m+n-1 ) i!.
|
|
1
|
|
|
|
1, 2, 3, 6, 8, 9, 24, 30, 32, 33, 120, 144, 150, 152, 153, 720, 840, 864, 870, 872, 873, 5040, 5760, 5880, 5904, 5910, 5912, 5913, 40320, 45360, 46080, 46200, 46224, 46230, 46232, 46233, 362880, 403200, 408240, 408960, 409080, 409104, 409110, 409112, 409113
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,2
|
|
|
COMMENTS
|
Index numbers (compare A055089) of circular shifts to the right.
|
|
|
LINKS
|
Tilman Piesk, Table of n, a(n) for n = 1..2016
Tilman Piesk, Arrays of permutations (Wikiversity)
|
|
|
EXAMPLE
|
T(3,2) = Sum( 2 <= i <= 4 ) i! = 2! + 3! + 4! = 32.
The array starts:
1, 2, 6, 24, 120, 720, ...
3, 8, 30, 144, 840, 5760, ...
9, 32, 150, 864, 5880, 46080, ...
33, 152, 870, 5904, 46200, 408960, ...
153, 872, 5910, 46224, 409080, 4037760, ...
873, 5912, 46230, 409104, 4037880, 43954560, ...
|
|
|
CROSSREFS
|
Cf. A051683 (circular shifts to the left), A007489 (column n=1), A000142 (row m=1).
Sequence in context: A099381 A089437 A146768 * A122479 A047403 A093193
Adjacent sequences: A211367 A211368 A211369 * A211371 A211372 A211373
|
|
|
KEYWORD
|
nonn,tabl,easy
|
|
|
AUTHOR
|
Tilman Piesk, Jul 07 2012
|
|
|
STATUS
|
approved
|
| |
|
|
