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.

A121660 Duplicate of A118835.

Original entry on oeis.org

4, 25, 229, 2315, 32639, 491900, 10362539, 228467758, 5722056489, 149001936472, 4922785960065, 167523724578682, 5868253146213935, 223161143280708212, 8709152841093834203, 400844191833597081550, 19650074552687350830153
Offset: 1

Views

Author

Jonathan Vos Post, Aug 14 2006

Keywords

Comments

Previous name was: Numerator of fraction equal to the continued fraction [4, 6, 9, ..., semiprime(n)].
Apparently the same as A118835. - Georg Fischer, Oct 03 2018

Examples

			a(1) = numerator of 4 = 4.
a(2) = numerator of 4 + 1/6 = numerator of 25/6 = 25.
a(3) = numerator of 4 + 1/(6+1/9) = numerator of 229/55 = 229.
a(10) = numerator of 4+1/(6+1/(9+1/(10+ 1/(14+1/(15+ 1/(21+1/(22+1/(25+1/(26))))))))) = numerator of 149001936472/35786212191 = 149001936472.
		

Programs

  • Maple
    SP:= select(t -> numtheory:-bigomega(t)=2, [$4..100]):
    seq(numer(numtheory:-cfrac(SP[1..n])),n=1..nops(SP)); # Robert Israel, Jul 10 2018
  • Mathematica
    Module[{nn=70,sps},sps=Select[Range[nn],PrimeOmega[#]==2&];Table[Numerator[ FromContinuedFraction[ Take[sps,n]]],{n,Length[sps]}]] (* Harvey P. Dale, Jan 09 2024 *)

Formula

Numerator of fraction equal to the continued fraction [4, 6, 9, ..., A001358(n)].

Extensions

More terms from Arkadiusz Wesolowski, Jul 03 2011