This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A073360 #11 Apr 29 2024 14:23:24 %S A073360 1,4,9,20,29,44,69,104,121,180,241,284,349,420,521,664,701,860,1009, %T A073360 1184,1301,1540,1789,1964,2181,2380,2701,3124,3301,3704,4029,4444, %U A073360 4809,5144,5789,6340,6729,7244,7981,8420,9101 %N A073360 Nested floor product of n and fractions (k+1)/k for all k>0 (mod 3), divided by 3. %H A073360 Paul D. Hanna, <a href="/A073360/b073360.txt">Table of n, a(n) for n = 1..300</a> %F A073360 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). %e A073360 a(2) = 4 since (1/3)[[[[[[2(2/1)](3/2)](5/4)](6/5)](8/7)](9/8)](11/10)](12/11)] %e A073360 = (1/3)[[[[[4(3/2)](5/4)](6/5)](8/7)](9/8)](11/10)](12/11)] %e A073360 = (1/3)[[[[6(5/4)](6/5)](8/7)](9/8)](11/10)](12/11)] %e A073360 = (1/3)[[[[7(6/5)](8/7)](9/8)](11/10)](12/11)] %e A073360 = (1/3)[[[[8(8/7)](9/8)](11/10)](12/11)] %e A073360 = (1/3)[[[[9(9/8)](11/10)](12/11)] %e A073360 = (1/3)[[[[10(11/10)](12/11)] %e A073360 = 4. %e A073360 Note that the denominators consist of positive integers not == 0 mod 3. %Y A073360 Cf. A073359. %K A073360 easy,nonn %O A073360 1,2 %A A073360 _Paul D. Hanna_, Jul 29 2002