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A060539
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Table by antidiagonals of number of ways of choosing k items from nk.
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7
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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
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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REFERENCES
| H. J. Brothers, Pascal's Prism: Supplementary Material, http://www.brotherstechnology.com/docs/Pascal's_Prism_(supplement).pdf.
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LINKS
| Harry J. Smith, Table of n, a(n) for n=1,...,210
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FORMULA
| a(n) =C(nk, k) =A007318(nk, k) =A060538(n, k)/A060538(n-1, k)
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PROG
| (PARI) { i=0; for (m=1, 20, for (n=1, m, k=m - n + 1; write("b060539.txt", i++, " ", binomial(n*k, k))); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 06 2009]
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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 A103209
Adjacent sequences: A060536 A060537 A060538 * A060540 A060541 A060542
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KEYWORD
| nonn,tabl
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Apr 02 2001
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