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 A085157 Quintuple factorials, 5-factorials, n!!!!!, n!5. 23
 1, 1, 2, 3, 4, 5, 6, 14, 24, 36, 50, 66, 168, 312, 504, 750, 1056, 2856, 5616, 9576, 15000, 22176, 62832, 129168, 229824, 375000, 576576, 1696464, 3616704, 6664896, 11250000, 17873856, 54286848, 119351232, 226606464, 393750000, 643458816 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS The term "Quintuple factorial numbers" is also used for the sequences A008546, A008548, A052562, A047055, A047056 which have a different definition. The definition given here is the one commonly used. LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 P. Luschny, Multifactorials Eric Weisstein's World of Mathematics, Multifactorial FORMULA a(n) = 1 for n < 1, otherwise a(n) = n*a(n-5). EXAMPLE a(12) = 168 because 12*a(12-5) = 12*a(7) = 12*14 = 168. MAPLE a:= n-> `if`(n < 1, 1, n*a(n-5)) end proc; seq(a(n), n = 0..40); # G. C. Greubel, Aug 18 2019 MATHEMATICA a[n_]:= If[n<1, 1, n*a[n-5]]; Table[a[n], {n, 0, 40}] (* G. C. Greubel, Aug 18 2019 *) Table[Times@@Range[n, 1, -5], {n, 0, 40}] (* Harvey P. Dale, May 12 2020 *) PROG (PARI) a(n)=if(n<1, 1, n*a(n-5)) for(n=0, 50, print1(a(n), ", ")) \\ Herman Jamke (hermanjamke(AT)fastmail.fm), Oct 19 2006 (MAGMA) b:= func< n | (n lt 6) select n else n*Self(n-5) >; [1] cat [b(n): n in [1..40]]; // G. C. Greubel, Aug 18 2019 (Sage) def a(n):     if (n<1): return 1     else: return n*a(n-5) [a(n) for n in (0..40)] # G. C. Greubel, Aug 18 2019 (GAP) a:= function(n)     if n<1 then return 1;     else return n*a(n-5);     fi;   end; List([0..40], n-> a(n) ); # G. C. Greubel, Aug 18 2019 (Python) def A085157(n):     if n <= 0:         return 1     else:         return n*A085157(n-5) n = 0 while n <= 40:     print(n, A085157(n))     n = n+1 # A.H.M. Smeets, Aug 18 2019 CROSSREFS Cf. n!:A000142, n!!:A006882, n!!!:A007661, n!!!!:A007662, n!!!!!!:A085158, 5-factorial primes: n!!!!!+1:A085148, n!!!!!-1:A085149. Sequence in context: A084830 A116044 A116027 * A065637 A325805 A039061 Adjacent sequences:  A085154 A085155 A085156 * A085158 A085159 A085160 KEYWORD nonn AUTHOR Hugo Pfoertner, Jun 21 2003 STATUS approved

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Last modified August 3 13:49 EDT 2020. Contains 336198 sequences. (Running on oeis4.)