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 A195052 #25 Dec 22 2023 08:05:42 %S A195052 1,1,1,2,2,2,1,1,2,1,1,2,1,2,1,1,2,1,4,1,1,2,2,3,1,2,1,2,2,1,1,2,2,2, %T A195052 1,1,1,1,4,2,1,2,1,2,2,1,3,1,3,2,1,2,2,4,1,2,1,2,2,1,4,1,1,2,1,1,1,2, %U A195052 2,2,2,2,2,3,2,1,1,1,2,2,2,2,2,4,1,1 %N A195052 Number of divisors of 24*n - 1 divided by 2. %C A195052 It appears that this sequence has the same parity as the spt function A092269 (See A195053). - _Omar E. Pol_, Jan 30 2012 %H A195052 George E. Andrews, Frank G. Garvan, and Jie Liang, <a href="http://dx.doi.org/10.4064/aa158-3-1">Self-conjugate vector partitions and the parity of the spt-function</a>, Acta Arith., Vol. 158, No. 3 (2013), pp. 199-218; <a href="https://eudml.org/doc/279005">alternative link</a>; <a href="https://georgeandrews1.github.io/pdf/289.pdf">author's link</a>. %F A195052 a(n) = A000005(A183010(n))/2 = A195051(n)/2. %F A195052 Sum_{k=1..n} a(k) ~ (n/6) * (log(n) + 2*gamma - 1 + 5*log(2) + 2*log(3)), where gamma is Euler's constant (A001620). - _Amiram Eldar_, Dec 22 2023 %t A195052 a[n_] := DivisorSigma[0, 24*n-1]/2; Array[a, 100] (* _Amiram Eldar_, Dec 22 2023 *) %o A195052 (PARI) a(n) = numdiv(24*n-1)/2; \\ _Amiram Eldar_, Dec 22 2023 %Y A195052 Cf. A000005, A001620, A092269, A134517, A183010, A183011, A195051, A195053. %K A195052 nonn,easy %O A195052 1,4 %A A195052 _Omar E. Pol_, Jan 13 2012