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.

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A329328 The squares in A329472.

Original entry on oeis.org

4, 49, 1024, 11881, 15876, 29241, 23530332816, 90070213689, 165698657721, 233002186209, 8246098046404, 363533405168704, 24015392820628036, 48563553937960000, 6648251155785800089, 497199122464645742436, 749745222626569665409, 10925409774976373110009
Offset: 1

Views

Author

Metin Sariyar, Nov 15 2019

Keywords

Comments

The first 18 terms are the sums of the first 1, 5, 27, 95, 110, 150, 135833, 265758, 360459, 427441, 2542860, 16883814, 137228168, 195143291, 2283242905, 19745293160, 24246846494, 92558706480 nonsquarefree numbers.
a(19) > 2*10^22. - Giovanni Resta, Nov 17 2019

Examples

			49 is a term because sum of first five nonsquarefree numbers is a square 4 + 8 + 9 + 12 + 16 = 49.
		

Crossrefs

Programs

  • Mathematica
    p=0; Do[If[!SquareFreeQ[n],p=p+n; If[IntegerQ[p^(1/2)], Print[p]]], {n,1,10^8}]
  • PARI
    lista(nn) = {my(s=0); for(k=1, nn, if(omega(k)!=bigomega(k), s+=k; if(issquare(s), print1(s, ", ")))); } \\ Jinyuan Wang, Nov 17 2019

Formula

Equals A000290 intersection A329472.

Extensions

a(13)-a(18) from Giovanni Resta, Nov 17 2019
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