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 A341594 #9 Feb 26 2021 06:32:38 %S A341594 0,0,1,0,1,1,1,0,1,1,1,0,1,1,2,0,1,1,1,1,2,1,1,0,1,1,2,1,1,1,1,0,2,1, %T A341594 2,1,1,1,2,0,1,2,1,1,3,1,1,0,1,1,2,1,1,2,2,0,2,1,1,1,1,1,3,0,2,2,1,1, %U A341594 2,1,1,1,1,1,3,1,2,2,1,0,2,1,1,1,2,1,2,1,1,2,2,1,2,1,2,0,1,1,3,1,1,2,1,1,4 %N A341594 Number of strictly superior odd divisors of n. %C A341594 We define a divisor d|n to be strictly superior if d > n/d. Strictly superior divisors are counted by A056924 and listed by A341673. %H A341594 Antti Karttunen, <a href="/A341594/b341594.txt">Table of n, a(n) for n = 1..65537</a> %e A341594 The a(n) divisors for n = 3, 15, 45, 105, 315, 405, 945, 1575, 1890: %e A341594 3 5 9 15 21 27 35 45 45 %e A341594 15 15 21 35 45 45 63 63 %e A341594 45 35 45 81 63 75 105 %e A341594 105 63 135 105 105 135 %e A341594 105 405 135 175 189 %e A341594 315 189 225 315 %e A341594 315 315 945 %e A341594 945 525 %e A341594 1575 %t A341594 Table[Length[Select[Divisors[n],OddQ[#]&&#>n/#&]],{n,100}] %o A341594 (PARI) A341594(n) = sumdiv(n,d,(d%2)*(d>(n/d))); \\ _Antti Karttunen_, Feb 23 2021 %Y A341594 On odd indices, equals A056924 (number of strictly superior divisors). %Y A341594 The inferior version is A069288. %Y A341594 Positions of zeros are A116882. %Y A341594 Positions of nonzero terms are A116883. %Y A341594 The strictly inferior version is A333805. %Y A341594 The version for squarefree instead of odd divisors is A341595. %Y A341594 The version for prime instead of odd divisors is A341642. %Y A341594 The version for prime-power instead of odd divisors is A341644. %Y A341594 The superior version is A341675. %Y A341594 A033676 selects the greatest inferior divisor. %Y A341594 A033677 selects the smallest superior divisor. %Y A341594 A038548 counts superior (or inferior) divisors. %Y A341594 A140271 selects the smallest strictly superior divisor. %Y A341594 A207375 lists central divisors. %Y A341594 A341673 lists strictly superior divisors. %Y A341594 - Inferior: A063962, A066839, A161906, A217581, A333749, A333750. %Y A341594 - Superior: A051283, A059172, A063538, A063539, A070038, A161908, A341591, A341592, A341593, A341676. %Y A341594 - Strictly Inferior: A060775, A070039, A333806, A341596, A341674. %Y A341594 - Strictly Superior: A048098, A064052, A238535, A341643, A341645, A341646. %Y A341594 Cf. A000005, A000203, A000265, A001222, A001248, A005408, A006530, A020639, A027193, A058695, A340101. %K A341594 nonn %O A341594 1,15 %A A341594 _Gus Wiseman_, Feb 23 2021