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 A327327 #24 Mar 04 2021 03:39:02 %S A327327 0,0,3,3,8,17,24,24,36,51,62,83,96,117,140,140,157,193,212,247,278, %T A327327 311,334,379,409,448,487,536,565,634,665,665,712,763,810,894,931,988, %U A327327 1043,1118,1159,1252,1295,1372,1449,1518,1565,1658,1714,1804,1875,1966,2019,2136,2207,2312,2391,2478,2537,2698 %N A327327 Partial sums of the sum of nonpowers of 2 dividing n. %C A327327 a(n) can be represented with a diagram since the symmetric diagram of A024916(n) is greater than or equal to the diagram of A080277(n). The difference between both diagrams is a representation of a(n). For more information about the symmetric diagram of A024916 see A236104 and A237593. %F A327327 a(n) = A024916(n) - A080277(n). %F A327327 a(n) = a(n-1) when n is a power of 2. %e A327327 The divisors of 6 are 1, 2, 3, 6. But 1 and 2 are powers of 2, so we only add up 3, 6 to get 9, and add that to the running total of 8 to get a(6) = 17. %t A327327 Accumulate[Table[DivisorSigma[1, n] - Denominator[DivisorSigma[1, 2n]/DivisorSigma[1, n]], {n, 100}]] (* _Alonso del Arte_, Nov 18 2019, based on _Wesley Ivan Hurt_'s program for A326988 *) %Y A327327 Partial sums of A326988. %Y A327327 Cf. A000203, A024916, A038712, A080277, A236104, A237593, A327326. %K A327327 nonn %O A327327 1,3 %A A327327 _Omar E. Pol_, Sep 14 2019