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 A129439 An analog of Pascal's triangle: T(n,k) = A092143(n)/(A092143(n-k)*A092143(k)), 0 <= k <= n. 2
 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 8, 12, 8, 1, 1, 5, 20, 20, 5, 1, 1, 36, 90, 240, 240, 90, 36, 1, 1, 7, 126, 210, 210, 126, 7, 1, 1, 64, 224, 2688, 1680, 2688, 224, 64, 1, 1, 27, 864, 2016, 9072, 9072, 2016, 864, 27, 1, 1, 100, 1350, 28800, 25200, 181440, 25200, 28800, 1350 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS It appears that the T(n,k) are always integers. This would follow from the conjectured prime factorization given in the comments section of A092143. LINKS FORMULA T(n,k) = product_{j=1..n} floor(n/j)!/((product_{j=1..n-k} floor((n-k)/j)!)*(product_{j=1..k} floor(k/j)!)). EXAMPLE Triangle starts 1 1 1 1 2 1 1 3 3 1 1 8 12 8 1 1 5 20 20 5 1 CROSSREFS Second column T(n, 1) is A007955, A092143. Sequence in context: A215292 A124975 A171246 * A176469 A141542 A129453 Adjacent sequences:  A129436 A129437 A129438 * A129440 A129441 A129442 KEYWORD easy,nonn,tabl AUTHOR Peter Bala, Apr 15 2007 STATUS approved

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Last modified August 18 10:36 EDT 2017. Contains 290708 sequences.