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 1-4 of 4 results.

A322679 Three-column table read by rows: Triples that have the same value of phi, sigma, and tau.

Original entry on oeis.org

63048, 67122, 70818, 106120, 115938, 122322, 121352, 122120, 137170, 133920, 140448, 141372, 206112, 207468, 218892, 226632, 242730, 254562, 227304, 228000, 229500, 247968, 260832, 262548, 273824, 290812, 290852, 282720, 284580, 298452, 302560, 319396, 342550, 315240, 335610, 354090
Offset: 1

Views

Author

Jud McCranie, Jan 15 2019

Keywords

Comments

The terms are consecutive triples, ordered so that (A) a(3i-2) < a(3i-1) < a(3i), and (B) a(3i-2) < a(3j-2) for i < j. Primitive triples are in A322689.

Examples

			phi(63048) = phi(67122) = phi(70818) = 20160, sigma(63048) = sigma(67122) = sigma(70818) = 164160, tau(63048) = tau(67122) = tau(70818) = 32, so 63048, 67122, and 70818 are in the sequence.

Crossrefs

Cf. A134922, A322689, A322678, A322680, A322681, A322682, A322683, A322684, A322685, A322686, A322687.

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.

A322676 Numbers k > 0 such that k has more divisors d, such that d-1 is prime, than any other smaller positive number, with a(1) = 1.

Original entry on oeis.org

1, 3, 6, 12, 24, 48, 72, 120, 168, 240, 360, 720, 1440, 2160, 2520, 4320, 5040, 7560, 10080, 15120, 20160, 27720, 30240, 55440, 75600, 83160, 110880, 151200, 166320, 332640, 665280, 831600, 1330560, 1441440, 1663200, 2162160, 2882880, 3326400, 4324320, 6486480, 8648640
Offset: 1

Views

Author

Daniel Suteu, Dec 23 2018

Keywords

Comments

Position of records in A072627.

Crossrefs

Cf. A072627, A202727, A322678.

Programs

Showing 1-4 of 4 results.

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