id:A063648 - OEIS Search Results

Search: id:A063648

Displaying 1-1 of 1 results found.

page 1

Smallest c such that 1/n=1/c+1/b has integer solutions with c>b.

+0
4

6, 12, 12, 30, 15, 56, 24, 36, 30, 132, 28, 182, 42, 40, 48, 306, 45, 380, 45, 70, 66, 552, 56, 150, 78, 108, 77, 870, 66, 992, 96, 132, 102, 84, 84, 1406, 114, 156, 90, 1722, 91, 1892, 132, 120, 138, 2256, 112, 392, 150, 204, 156, 2862, 135, 176, 120, 228, 174 (list; graph; listen)

	OFFSET	`2,1`
	COMMENT	`Largest c is n(n+1) since 1/n=1/(n(n+1))+1/(n+1)`
	FORMULA	`a(n) =n*A063649(n)/(A063649(n)-n) =A063427(n)+2n.`
	EXAMPLE	`a(10)=30 since 1/10=1/20+1/20=1/30+1/15=1/35+1/14=1/60+1/12=1/110+1/11, but the first sum does not have c>b, leaving the second sum to provide the value.`
	CROSSREFS	`Cf. A018892, A063427, A063428, A063647, A063649.` `Sequence in context: A070149 A055595 A132632 this_sequence A063722 A072294 A028588` `Adjacent sequences: A063645 A063646 A063647 this_sequence A063649 A063650 A063651`
	KEYWORD	`nonn`
	AUTHOR	`Henry Bottomley (se16(AT)btinternet.com), Jul 23 2001`

page 1

Search completed in 0.002 seconds

Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

AT&T Labs Research