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 A073360 Nested floor product of n and fractions (k+1)/k for all k>0 (mod 3), divided by 3. 5
 1, 4, 9, 20, 29, 44, 69, 104, 121, 180, 241, 284, 349, 420, 521, 664, 701, 860, 1009, 1184, 1301, 1540, 1789, 1964, 2181, 2380, 2701, 3124, 3301, 3704, 4029, 4444, 4809, 5144, 5789, 6340, 6729, 7244, 7981, 8420, 9101 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Paul D. Hanna, Table of n, a(n) for n = 1..300 FORMULA a(n)=(1/3)[...[[[[n(2/1)](3/2)](5/4)](6/5)]...(k+1)/k]..., k>0 (mod 3), where [x] = floor of x; this infinite nested floor product will eventually level-off at a(n). EXAMPLE a(2) = 4 since (1/3)[[[[[[2(2/1)](3/2)](5/4)](6/5)](8/7)](9/8)](11/10)](12/11)] = (1/3)[[[[[4(3/2)](5/4)](6/5)](8/7)](9/8)](11/10)](12/11)] = (1/3)[[[[6(5/4)](6/5)](8/7)](9/8)](11/10)](12/11)] = (1/3)[[[[7(6/5)](8/7)](9/8)](11/10)](12/11)] = (1/3)[[[[8(8/7)](9/8)](11/10)](12/11)] = (1/3)[[[[9(9/8)](11/10)](12/11)] = (1/3)[[[[10(11/10)](12/11)] = 4. Note that the denominators consist of positive integers not == 0 mod 3. CROSSREFS Cf. A073359. Sequence in context: A030734 A368587 A212101 * A297190 A075385 A048150 Adjacent sequences: A073357 A073358 A073359 * A073361 A073362 A073363 KEYWORD easy,nonn AUTHOR Paul D. Hanna, Jul 29 2002 STATUS approved

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Last modified June 18 14:09 EDT 2024. Contains 373481 sequences. (Running on oeis4.)