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A060539 Table by antidiagonals of number of ways of choosing k items from n*k. 9


%S 1,1,2,1,6,3,1,20,15,4,1,70,84,28,5,1,252,495,220,45,6,1,924,3003,

%T 1820,455,66,7,1,3432,18564,15504,4845,816,91,8,1,12870,116280,134596,

%U 53130,10626,1330,120,9,1,48620,735471,1184040,593775,142506,20475,2024,153,10

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

%H Seiichi Manyama, <a href="/A060539/b060539.txt">Antidiagonals n = 1..140, flattened</a> (first 20 antidiagonals from Harry J. Smith)

%H H. J. Brothers, <a href="http://www.brotherstechnology.com/docs/Pascal&#39;s_Prism_(supplement).pdf">Pascal's Prism: Supplementary Material</a>.

%F a(n) = binomial(n*k, k) = A007318(n*k, k) = A060538(n, k)/A060538(n-1, k).

%o (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

%Y Rows include A000012, A000984, A005809, A005810, A001449, A004355, A004368.

%Y Columns include A000027, A000384, A006566, A060541. Main diagonal is A014062.

%K nonn,tabl

%O 1,3

%A _Henry Bottomley_, Apr 02 2001

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Last modified January 18 14:04 EST 2020. Contains 331011 sequences. (Running on oeis4.)