id:A073359 - OEIS Search Results

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Nested floor product of n and fractions (2k+2)/(2k+1) for all k>=0, divided by 2.

+0
5

1, 3, 6, 9, 13, 19, 24, 31, 39, 45, 54, 66, 73, 90, 103, 111, 126, 144, 153, 174, 193, 199, 229, 240, 264, 283, 306, 324, 354, 381, 403, 421, 463, 474, 504, 546, 555, 594, 630, 660, 679, 735, 741, 789, 846, 859, 903, 949, 966, 1011 (list; graph; listen)

	OFFSET	`1,2`
	FORMULA	`a(n)=(1/2)[...[[[[n(2/1)](4/3)](6/5)]...(2k+2)/(2k+1)]..., where [x] = floor of x; this infinite nested floor product will eventually level-off at a(n).`
	EXAMPLE	`a(3) = 6 since (1/2)[[[[[[3(2/1)](4/3)](6/5)](8/7)](10/9)](10/11)] = (1/2)[[[[[6(4/3)](6/5)](8/7)](10/9)](12/11)] = (1/2)[[[[8(6/5)](8/7)](10/9)](12/11)] = (1/2)[[[9(8/7)](10/9)](12/11)] = (1/2)[[10(10/9)](12/11)] = (1/2)[11(12/11)] = 6.`
	CROSSREFS	`Sequence in context: A059293 A129728 A117469 this_sequence A137041 A086838 A128261` `Adjacent sequences: A073356 A073357 A073358 this_sequence A073360 A073361 A073362`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Jul 29 2002`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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