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.

Showing 1-2 of 2 results.

A164931 n times the n-th noncomposite.

Original entry on oeis.org

1, 4, 9, 20, 35, 66, 91, 136, 171, 230, 319, 372, 481, 574, 645, 752, 901, 1062, 1159, 1340, 1491, 1606, 1817, 1992, 2225, 2522, 2727, 2884, 3103, 3270, 3503, 4064, 4323, 4658, 4865, 5364, 5587, 5966, 6357, 6680, 7093, 7518, 7783, 8404, 8685, 9062, 9353
Offset: 1

Views

Author

Jaroslav Krizek, Aug 31 2009

Keywords

Comments

Does some n > 2 exist such that n * prime(n-1) / (n + prime(n-1)), i.e. a(n) / A090178(n) is an integer?
Complement of A171519. - Jaroslav Krizek, Dec 13 2009
Partial sums of A092929. - Gionata Neri, May 26 2015

Programs

  • Mathematica
    Module[{nn=200,cmps},cmps=Select[Range[nn],!CompositeQ[#]&];Times@@@ Thread[ {cmps,Range[Length[cmps]]}]] (* Harvey P. Dale, Jul 25 2021 *)
  • PARI
    a(n)=if(n>1,n*prime(n-1),1) \\ Charles R Greathouse IV, Jun 02 2015

Formula

a(n) = n*A008578(n).

Extensions

Correction for change of offset in A008578 by Jaroslav Krizek, Jan 27 2010

A092930 n-th partial arithmetic mean is equal to the n-th composite number.

Original entry on oeis.org

4, 8, 12, 12, 14, 22, 26, 22, 24, 36, 40, 32, 34, 50, 39, 41, 43, 45, 66, 70, 53, 55, 57, 59, 86, 64, 66, 96, 100, 74, 76, 110, 81, 83, 85, 87, 126, 92, 94, 96, 98, 142, 146, 106, 108, 110, 112, 162, 117, 119, 172, 176, 127, 129, 131, 133, 192, 138, 140, 202, 145, 147
Offset: 1

Views

Author

Amarnath Murthy, Mar 19 2004

Keywords

Crossrefs

Cf. A092929.

Extensions

More terms from Ray Chandler, Mar 23 2004
Showing 1-2 of 2 results.