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 1-3 of 3 results.

A227306 Numbers k that divide sigma(k) + sigma(k-1).

Original entry on oeis.org

2, 6, 34, 50, 216, 236, 262, 386, 898, 924, 945, 1456, 2380, 5356, 6468, 6624, 8362, 14100, 23496, 26938, 46594, 80876, 196344, 212796, 1661136, 4070200, 4160920, 4626700, 5244548, 5462384, 17062316, 60464628, 217408416, 248621604, 262792908, 265371336, 323987588
Offset: 1

Views

Author

Alex Ratushnyak, Jul 05 2013

Keywords

Comments

Is 945 the only odd term? - Zak Seidov, Jul 06 2013
945 and 19910536425 are the only odd terms below 2^36. - Alex Ratushnyak, Jul 08 2013
The third odd term is a(58) = 841488503841. - Giovanni Resta, Apr 04 2014

Crossrefs

Programs

  • Mathematica
    With[{nn=324*10^6},Select[Thread[{Total/@Partition[DivisorSigma[ 1,Range[ nn]],2,1],Range[ 2,nn]}],Divisible[#[[1]],#[[2]]]&][[All,2]]] (* Harvey P. Dale, May 29 2020 *)

A067806 Numbers n such that sigma(n+1)+sigma(n)=3n.

Original entry on oeis.org

10, 34, 136, 169, 2402, 5329, 21004, 41164, 54722, 1060802, 5026562, 10800112, 11108164, 14366402, 87026656, 102944992, 10499710072, 107000850688, 220200311872, 924354816004
Offset: 1

Views

Author

Benoit Cloitre, Feb 07 2002

Keywords

Comments

a(21) > 10^13. - Giovanni Resta, Jul 11 2013

Crossrefs

Programs

  • Mathematica
    For[n=1, True, n++, If[DivisorSigma[1, n]+DivisorSigma[1, n+1]==3n, Print[n]]]

Extensions

Edited by Dean Hickerson, Feb 16 2002
a(17) from Donovan Johnson, Jan 31 2009
a(18)-a(20) from Giovanni Resta, Jul 11 2013

A068077 Numbers k such that sigma(k) + sigma(k+1) = 4k.

Original entry on oeis.org

1, 38184, 458010, 776112, 65676408, 1488668112, 4414086384, 28645019964, 46696401675, 65466785748, 70619381496, 176151711072
Offset: 1

Views

Author

Dean Hickerson, Feb 16 2002

Keywords

Comments

a(13) > 10^13. - Giovanni Resta, Jul 11 2013

Crossrefs

Cf. A000203 (sigma), A067806, A068078.

Programs

  • Mathematica
    For[n=1, True, n++, If[DivisorSigma[1, n]+DivisorSigma[1, n+1]==4n, Print[n]]]

Extensions

a(6)-a(8) from Donovan Johnson, Jan 31 2009
a(9)-a(12) from Giovanni Resta, Jul 11 2013
Showing 1-3 of 3 results.