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A061314
Table read by descending antidiagonals where T(n,k) = T(n,k-1) + T(n,k-1)^2/k^2 and T(n,0)=n.
5
0, 0, 1, 0, 2, 2, 0, 3, 6, 3, 0, 4, 15, 12, 4, 0, 5, 40, 48, 20, 5, 0, 6, 140, 304, 120, 30, 6, 0, 7, 924, 6080, 1720, 255, 42, 7, 0, 8, 24640, 1484736, 186620, 7480, 483, 56, 8, 0, 9, 12415040, 61235956672, 1393267596, 3504380, 26404, 840, 72, 9, 0, 10
OFFSET
0,5
COMMENTS
Not always an integer.
FORMULA
T(n, k) = T(n, k-1) + A061315(n, k)^2.
EXAMPLE
The table begins:
0, 0, 0, 0, 0,...
1, 2, 3, 4, 5,...
2, 6, 15, 40, 140,...
3, 12, 48, 304, 6080,...
4, 20, 120, 1720, 186620,...
5, 30, 255, 7480, 3504380,...
6, 42, 483, 26404, 43599605,...
7, 56, 840, 79240, 392515340,...
8, 72, 1368, 209304, 2738219580,...
...
CROSSREFS
Rows include A000004, A000027 and A061322. Columns include A001477, A002378, A061316, A061318 and A061320.
Sequence in context: A214639 A319495 A216973 * A366730 A193383 A218033
KEYWORD
nonn,tabl
AUTHOR
Henry Bottomley, Apr 24 2001
STATUS
approved