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 A060538 Square array read by antidiagonals of number of ways of dividing n*k labeled items into n labeled boxes with k items in each box. 5
 1, 1, 2, 1, 6, 6, 1, 20, 90, 24, 1, 70, 1680, 2520, 120, 1, 252, 34650, 369600, 113400, 720, 1, 924, 756756, 63063000, 168168000, 7484400, 5040, 1, 3432, 17153136, 11732745024, 305540235000, 137225088000, 681080400, 40320, 1, 12870 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Harry J. Smith, Table of n, a(n) for n = 1..210 FORMULA T(n, k) = (nk)!/k!^n = T(n-1, k)*binomial(nk, k) = T(n-1, k)*A060539(n, k) = A060540(n, k)*A000142(k). EXAMPLE 1        1        1        1        2        6       20       70        6       90     1680    34650       24     2520   369600 63063000 PROG (PARI) T(n, k)=(n*k)!/k!^n; for(n=1, 6, for(k=1, 6, print1(T(n, k), ", ")); print) \\ Harry J. Smith, Jul 06 2009 CROSSREFS Subtable of A187783. Rows include A000012, A000984, A006480, A008977, A008978 etc. Columns include A000142, A000680, A014606, A014608, A014609 etc. Main diagonal is A034841. Sequence in context: A300700 A046521 A104684 * A260848 A110183 A110098 Adjacent sequences:  A060535 A060536 A060537 * A060539 A060540 A060541 KEYWORD nonn,tabl,easy AUTHOR Henry Bottomley, Apr 02 2001 STATUS approved

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Last modified February 17 02:22 EST 2020. Contains 331976 sequences. (Running on oeis4.)