

A060539


Table by antidiagonals of number of ways of choosing k items from n*k.


9



1, 1, 2, 1, 6, 3, 1, 20, 15, 4, 1, 70, 84, 28, 5, 1, 252, 495, 220, 45, 6, 1, 924, 3003, 1820, 455, 66, 7, 1, 3432, 18564, 15504, 4845, 816, 91, 8, 1, 12870, 116280, 134596, 53130, 10626, 1330, 120, 9, 1, 48620, 735471, 1184040, 593775, 142506, 20475, 2024, 153, 10
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OFFSET

1,3


LINKS

Seiichi Manyama, Antidiagonals n = 1..140, flattened (first 20 antidiagonals from Harry J. Smith)
H. J. Brothers, Pascal's Prism: Supplementary Material.


FORMULA

a(n) = binomial(n*k, k) = A007318(n*k, k) = A060538(n, k)/A060538(n1, k).


PROG

(PARI) { i=0; for (m=1, 20, for (n=1, m, k=m  n + 1; write("b060539.txt", i++, " ", binomial(n*k, k))); ) } \\ Harry J. Smith, Jul 06 2009


CROSSREFS

Rows include A000012, A000984, A005809, A005810, A001449, A004355, A004368.
Columns include A000027, A000384, A006566, A060541. Main diagonal is A014062.
Sequence in context: A092392 A128741 A175757 * A163269 A103905 A270967
Adjacent sequences: A060536 A060537 A060538 * A060540 A060541 A060542


KEYWORD

nonn,tabl


AUTHOR

Henry Bottomley, Apr 02 2001


STATUS

approved



