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A061314 Table by 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 (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

     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 * A193383 A218033 A326500

Adjacent sequences:  A061311 A061312 A061313 * A061315 A061316 A061317

KEYWORD

nonn,tabl

AUTHOR

Henry Bottomley, Apr 24 2001

STATUS

approved

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Last modified September 23 12:11 EDT 2021. Contains 347617 sequences. (Running on oeis4.)