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 A341675 #11 Dec 13 2021 16:15:16 %S A341675 1,0,1,0,1,1,1,0,2,1,1,0,1,1,2,0,1,1,1,1,2,1,1,0,2,1,2,1,1,1,1,0,2,1, %T A341675 2,1,1,1,2,0,1,2,1,1,3,1,1,0,2,1,2,1,1,2,2,0,2,1,1,1,1,1,3,0,2,2,1,1, %U A341675 2,1,1,1,1,1,3,1,2,2,1,0,3,1,1,1,2,1,2,1,1,2,2,1,2,1,2,0,1,1,3,1,1,2,1,1,4 %N A341675 Number of superior odd divisors of n. %C A341675 We define a divisor d|n to be superior if d >= n/d. Superior divisors are counted by A038548 and listed by A161908. %H A341675 Antti Karttunen, <a href="/A341675/b341675.txt">Table of n, a(n) for n = 1..20000</a> %e A341675 The superior odd divisors of selected n: %e A341675 n = 1 9 45 105 225 315 945 1575 1890 2835 3465 8190 %e A341675 ----------------------------------------------------------- %e A341675 1 9 45 105 225 315 945 1575 945 2835 3465 4095 %e A341675 3 15 35 75 105 315 525 315 945 1155 1365 %e A341675 9 21 45 63 189 315 189 567 693 819 %e A341675 15 25 45 135 225 135 405 495 585 %e A341675 15 35 105 175 105 315 385 455 %e A341675 21 63 105 63 189 315 315 %e A341675 45 75 45 135 231 273 %e A341675 35 63 105 165 195 %e A341675 45 81 105 117 %e A341675 63 99 105 %e A341675 77 91 %e A341675 63 %t A341675 Table[Length[Select[Divisors[n],OddQ[#]&&#>=n/#&]],{n,100}] %o A341675 (PARI) A341675(n) = sumdiv(n,d,(d%2)*(d>=n/d)); \\ _Antti Karttunen_, Dec 13 2021 %Y A341675 The inferior version is A069288. %Y A341675 Positions of 0's (except a(1)) are A116882. %Y A341675 The version for prime instead of odd divisors is A341591. %Y A341675 The version for squarefree instead of odd divisors is A341592. %Y A341675 The version for prime-power instead of odd divisors is A341593. %Y A341675 The strictly superior case is A341594. %Y A341675 A001221 counts prime divisors, with sum A001414. %Y A341675 A005117 lists squarefree numbers. %Y A341675 A033676 selects the greatest inferior divisor. %Y A341675 A033677 selects the smallest superior divisor. %Y A341675 A038548 counts superior (or inferior) divisors. %Y A341675 A056924 counts strictly superior (or strictly inferior) divisors. %Y A341675 A161908 lists superior divisors. %Y A341675 A207375 lists central divisors. %Y A341675 - Inferior: A063962, A066839, A161906, A217581, A333749, A333750. %Y A341675 - Superior: A051283, A059172, A063538, A063539, A070038, A116882, A341676. %Y A341675 - Strictly Inferior: A060775, A070039, A333805, A333806, A341596, A341674. %Y A341675 - Strictly Superior: A048098, A064052 A140271, A238535, A341595, A341642, A341643, A341644, A341645, A341646, A341673. %Y A341675 Cf. A000005, A000203, A001222, A001248, A006530, A020639. %K A341675 nonn %O A341675 1,9 %A A341675 _Gus Wiseman_, Feb 23 2021 %E A341675 Data section extended up to 105 terms by _Antti Karttunen_, Dec 13 2021