cp's OEIS Frontend

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.

A152986 Sum of proper divisors minus the number of proper divisors of pentagonal number A000326(n).

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%I A152986 #11 Jul 02 2021 11:25:15
%S A152986 0,0,11,11,10,18,67,71,60,32,187,351,30,46,519,337,128,220,577,483,
%T A152986 366,286,507,1153,248,336,2489,847,70,818,871,2181,1108,116,2861,2275,
%U A152986 694,130,2763,3645,100,2352,2823,1863,2278,158,3607,6617,636,920,6181,4019
%N A152986 Sum of proper divisors minus the number of proper divisors of pentagonal number A000326(n).
%H A152986 B. D. Swan, <a href="/A152986/b152986.txt">Table of n, a(n) for n = 1..10000</a>
%F A152986 a(n)=A001065(A000326(n))-A032741(A000326(n)) = A152770(A000326(n)).
%p A152986 A000326 := proc(n) n*(3*n-1)/2 ; end: A000203 := proc(n) numtheory[sigma](n) ; end: A000005 := proc(n) numtheory[tau](n) ; end: A152770 := proc(n) A000203(n)-A000005(n)-n+1 ; end: A152986 := proc(n) A152770(A000326(n)) ; end: for n from 1 to 80 do printf("%a,",A152986(n)) ; od: # _R. J. Mathar_, Jan 03 2009
%t A152986 DivisorSigma[1,#]-#-DivisorSigma[0,#]+1&/@PolygonalNumber[5,Range[60]] (* Requires Mathematica version 10 or later *) (* _Harvey P. Dale_, Jul 02 2021 *)
%Y A152986 Cf. A000005, A000203, A000326, A001065, A032741, A152770.
%K A152986 easy,nonn,look
%O A152986 1,3
%A A152986 _Omar E. Pol_, Dec 22 2008
%E A152986 Extended by _R. J. Mathar_, Jan 03 2009