A129439 - OEIS

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A129439

An analogue of Pascal's triangle: T(n,k) = A092143(n)/(A092143(n-k)*A092143(k)), 0 <= k <= n.

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	`Table of n, a(n) for n=0..64.`
	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 May 25 04:16 EDT 2013. Contains 225638 sequences.