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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A322680 Four-column table read by rows: Quadruples that have the same value of phi, sigma, and tau.

Original entry on oeis.org

1167320, 1197912, 1275318, 1345542, 3502548, 3536232, 3684252, 3695412, 4846520, 4980792, 5302638, 5594622, 5196000, 5299680, 5857830, 6000150, 5276448, 5568672, 5605308, 5764220, 6115656, 6510834, 6866106, 6869346, 6119520, 6159780, 6586650, 6928350, 6595560, 6917064, 6960840, 7818690
Offset: 1

Views

Author

Jud McCranie, Jan 16 2019

Keywords

Comments

The terms are consecutive quadruples, ordered so that (A) a(4i-3) < a(4i-2) < a(4i-1) < a(4i) for i > 0, and (B) a(4i+1) < a(4i+5) for i >= 0. Primitive solutions are in A322690.

Examples

			1167320, 1197912, 1275318, and 1345542 have the same value of phi (362880), sigma (3283200), and tau (64), so these four numbers are in the sequence.

Crossrefs

Cf. A134922, A322689, A322678, A322679, A322681, A322682, A322683, A322684, A322685, A322686, A322687.

A322681 Five-column table read by rows: Quintuples that have the same value of phi, sigma, and tau.

Original entry on oeis.org

15132960, 15870624, 15966240, 15975036, 16854684, 15175160, 15572856, 16579134, 16629354, 17492046, 17671392, 18346968, 18644448, 20598318, 20608038, 26382240, 27668256, 27843360, 27850284, 28026540, 28020384, 29474016, 29563296, 29667924, 31301556, 30743000, 31130008, 31356440, 34531750, 35220790
Offset: 1

Views

Author

Jud McCranie, Jan 16 2019

Keywords

Comments

The terms are consecutive quintuples, ordered so that (A) a(5i-4) < a(5i-3) < ... < a(5i) for i > 0, and (B) a(5i+1) < a(5i+6) for i >= 0. Primitive terms are in A322691.

Examples

			15132960, 15870624, 15966240, 15975036,and 16854684 have the same value of phi (3870720), sigma (55157760), and tau (192), so these five numbers are in the sequence.

Crossrefs

Cf. A134922, A322689, A322678, A322679, A322680, A322682, A322683, A322684, A322685, A322686, A322687.

A306430 Twelve-column table read by rows: Primitive distinct 12-tuples that have the same value of phi, sigma, and tau.

Original entry on oeis.org

38848397472, 38850486624, 39955028960, 41002131936, 41266440252, 41271882804, 41273232372, 42433832980, 42439669580, 42441951860, 43545898068, 44591929866
Offset: 1

Views

Author

Jud McCranie, Feb 14 2019

Keywords

Comments

The terms are consecutive 12-tuples, ordered so that (A) a(12i-11) < a(11i-10) < ... < a(12i) for i > 0, and (B) a(12i+1) < a(12i+13) for i >= 0. This sequence has primitive solutions only. If k is relatively prime to all of the terms in a primitive 12-tuple, then multiplying the terms in that 12-tuple by k gives another solution.

Examples

			38848397472, 38850486624, 39955028960, 41002131936, 41266440252, 41271882804, 41273232372, 42433832980, 42439669580, 42441951860, 43545898068, and 44591929866 have the same value of phi (12070840320), sigma (121347072000), and tau (384), so these twelve numbers are in the sequence.

Crossrefs

Cf. A134922, A322687, A322688, A322689, A322690, A322691, A322692, A322693, A322694, A322695, A322696, A322697.
Previous Showing 11-13 of 13 results.

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