A259325 Infinite square array T(n,k) read by antidiagonals, defined by T(n,k) = T(n,k-1)+T(n-k,k), T(0,k)=1 (n >= 0, k >= 1).

1, 1, 3, 1, 3, 7, 1, 3, 8, 13, 1, 3, 8, 16, 22, 1, 3, 8, 17, 30, 34, 1, 3, 8, 17, 33, 50, 50, 1, 3, 8, 17, 34, 58, 80, 70, 1, 3, 8, 17, 34, 61, 97, 120, 95

Offset

0,3

Links

Table of n, a(n) for n=0..44.

E. Fix and J. L. Hodges, Jr., Significance probabilities of the Wilcoxon test, Annals Math. Stat., 26 (1955), 301-312. See Table II.

E. Fix and J. L. Hodges, Significance probabilities of the Wilcoxon test, Annals Math. Stat., 26 (1955), 301-312. [Annotated scanned copy]

Example

The first few antidiagonals are:
1
1,3,
1,3,7
1,3,8,13
1,3,8,16,22
1,3,8,17,30,34
1,3,8,17,33,50,50
1,3,8,17,34,58,80,70
1,3,8,17,34,61,97,120,95
...

Crossrefs

Columns give A002623, A002624, A002625, A002626.

Sequence in context: A226522 A122507 A257258 * A094250 A208517 A336203

Adjacent sequences: A259322 A259323 A259324 * A259326 A259327 A259328

Keyword

nonn,tabl,more

Author

N. J. A. Sloane, Jun 24 2015

Status

approved