A061314 - OEIS

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.

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

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

0,5

COMMENTS

Not always an integer.

LINKS

Table of n, a(n) for n=0..56.

FORMULA

T(n, k) = T(n, k-1) + A061315(n, k)^2.

EXAMPLE

The table begins:

0, 0, 0, 0, 0,...