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 A093910 Product of n-th row of irregular triangle defined in A093911. 3
 1, 6, 120, 5040, 5765760, 19275223968000, 13644281345408020027550269440000, 4402827357584746886229433170489943024971625310770489684257669120000000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Next term has 168 digits. LINKS Michael De Vlieger, Table of n, a(n) for n = 1..11 (Term 11 has 824 decimal digits.) FORMULA For n > 1, a(n) = prod_{i = A093911(n)..A093911(n+1)-1} i. EXAMPLE a(3) = 120 because a(1) is the product of 1 successive numbers starting with 1 = 1, and a(2) is the product of 2 successive numbers (2,3) = 6 and a(3) is the product of 3 successive numbers (4,5,6) = 120. All the products have the property that a(n) = 0 (mod a(n - 1)). Thus a(3) = 120. MATHEMATICA a = {{1, 1}, {2, 2}}; Do[k = Last@ a[[i - 1]]; While[! Divisible[Pochhammer[Total@ a[[i - 1]], k], Pochhammer @@ a[[i - 1]]], k++]; AppendTo[a, {Total@ a[[i - 1]], k}], {i, 3, 8}]; Pochhammer @@ # & /@ a (* Michael De Vlieger, Dec 15 2016 *) CROSSREFS Cf. A090904, A093911. Sequence in context: A094273 A335334 A094278 * A002370 A012846 A331640 Adjacent sequences: A093907 A093908 A093909 * A093911 A093912 A093913 KEYWORD nonn,easy,less AUTHOR Amarnath Murthy, Apr 24 2004 EXTENSIONS Edited and extended by David Wasserman, Mar 27 2006 New name from Ivan Neretin, Dec 15 2016 STATUS approved

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Last modified September 8 02:36 EDT 2024. Contains 375749 sequences. (Running on oeis4.)