id:A117134 - OEIS Search Results

Search: id:A117134

Displaying 1-1 of 1 results found.

page 1

Greatest k such that n^k divides (n^2)!.

+0
1

3, 4, 7, 6, 17, 8, 21, 20, 24, 12, 70, 14, 32, 55, 63, 18, 80, 20, 99, 73, 48, 24, 191, 78, 56, 121, 130, 30, 224, 32, 204, 108, 72, 203, 323, 38, 80, 126, 398, 42, 293, 44, 193, 505, 96, 48, 575, 200, 312, 162, 225, 54, 485, 302, 522, 180, 120, 60, 898, 62, 128, 660, 682 (list; graph; listen)

	OFFSET	`2,1`
	COMMENT	`If p is prime, a(p) = p+1, a(p^2) = floor((p^3 + p^2 + p + 1)/2)`
	REFERENCES	`Thread "100!" in rec.puzzles newsgroup, April 2007`
	EXAMPLE	`a(3)=4 because (3^2)! = 362880 = 3^4 * 4480 and 4480 is not divisible by 3`
	MAPLE	`seq(ordp((n^2)!, n), n=2..50);`
	CROSSREFS	`Cf. A011776.` `Sequence in context: A077580 A069213 A130700 this_sequence A095001 A068905 A021746` `Adjacent sequences: A117131 A117132 A117133 this_sequence A117135 A117136 A117137`
	KEYWORD	`nonn`
	AUTHOR	`Robert B. Israel (israel(AT)math.ubc.ca), Apr 26 2007`

page 1

Search completed in 0.002 seconds

Last modified November 18 20:14 EST 2008. Contains 147244 sequences.

AT&T Labs Research