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 A283154 Number of set partitions of unique elements from an n X 5 matrix where elements from the same row may not be in the same partition. 4
 1, 1546, 12962661, 363303011071, 25571928251231076, 3789505947767235111051, 1049433111253356296672432821, 498382374325731085522315594481036, 380385281554629647028734545622539438171, 443499171330317702437047276255605780991365151, 758311423589226886694849718263394302618332719358226 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Apparently a duplicate of A090209. - R. J. Mathar, Mar 06 2017 LINKS Indranil Ghosh, Table of n, a(n) for n = 1..50 FORMULA a(n) = m!^n Sum_{p=1..n*m} (Choose(p,m)^n/p!) Sum_{k=0..n*m-p} (-1)^k/k! with m=5. MATHEMATICA Table[(5 !^n)*Sum[Binomial[p, 5]^n/p ! * Sum[(-1)^k/k !, {k, 0, 5n-p}], {p, 1, 5n}], {n, 1, 11}] (* Indranil Ghosh, Mar 04 2017 *) PROG (PARI) a(n) = (5!^n)*sum(p=1, 5*n, binomial(p, 5)^n/p! * sum(k=0, 5*n-p, (-1)^k/k!)); \\ Indranil Ghosh, Mar 04 2017 CROSSREFS Cf. A283153, A283155. Sequence in context: A249473 A246899 A090209 * A157347 A255356 A336221 Adjacent sequences:  A283151 A283152 A283153 * A283155 A283156 A283157 KEYWORD nonn AUTHOR Marko Riedel, Mar 01 2017 EXTENSIONS If it is proved that A283154 and A090209 are the same, then the entries should be merged and A283154 recycled. - N. J. A. Sloane, Mar 06 2017 STATUS approved

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Last modified May 26 13:17 EDT 2022. Contains 354092 sequences. (Running on oeis4.)