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.

A373331 X-coordinates of the lower envelope of A373330.

Original entry on oeis.org

5, 10, 136, 153, 306, 428, 623, 763, 4072, 8580, 9964, 22373, 25571, 109408, 190619, 276532, 314223, 463097, 2256531, 2791875, 4325972, 14492546, 20201957, 28465976, 64084574, 72478694, 109821726, 543521049, 65927493216, 105027578781, 128041940756
Offset: 1

Views

Author

Hugo Pfoertner, Jun 02 2024

Keywords

Comments

a(32) >= 24882280056497.
Note the remark in A374175 regarding the lack of a proof of the increasing minimum of the terms of A373330. The absence of smaller minima was checked up to 4.5*10^12.

Links

Crossrefs

A373332 gives the corresponding y-coordinates.
Cf. A373330, A373333, A374175.

A373332 Y-coordinates of the lower envelope of A373330.

Original entry on oeis.org

1, 9, 15, 536, 545, 559, 784, 1029, 1296, 9864, 19972, 25281, 61372, 71919, 254305, 264196, 501809, 577720, 4825277, 5615100, 8943039, 23666905, 23765244, 24555772, 126237882, 157076310, 264463290, 341853680, 1219695647, 95714023805, 220113045816
Offset: 1

Views

Author

Hugo Pfoertner, Jun 02 2024

Keywords

Comments

The terms A373330(A002315(k)) = 0 for all k are excluded when determining the lower envelope.
a(32) <= 415683424401.
Note the remark in A374175 regarding the lack of a proof of the increasing minimum of the terms of A373330.

Crossrefs

A373331 gives the corresponding x-coordinates.
Cf. A373330, A373333, A374175.

A373333 Numbers occurring as terms of A373330.

Original entry on oeis.org

0, 1, 9, 15, 36, 41, 55, 72, 100, 111, 117, 135, 144, 156, 204, 209, 261, 262, 289, 309, 316, 342, 397, 406, 426, 527, 536, 545, 559, 605, 624, 647, 701, 741, 776, 784, 804, 825, 849, 855, 860, 954, 969, 1017, 1029, 1081, 1101, 1142, 1200, 1206, 1225, 1257, 1296, 1297, 1361, 1400
Offset: 1

Views

Author

Hugo Pfoertner, Jun 02 2024

Keywords

Comments

Differences between T=A000217(n^2) and the greatest square <= T, sorted by increasing size. Multiple occurrences are merged.
Note the remark in A374175 regarding the lack of a proof of the increasing minimum of the terms of A373330.

Crossrefs

Cf. A000217, A000290, A373330, A373331, A373332, A374175.

A374177 Positions of records in A373330.

Original entry on oeis.org

0, 2, 3, 4, 6, 8, 9, 11, 13, 14, 17, 19, 22, 24, 27, 30, 31, 34, 36, 39, 43, 53, 56, 59, 60, 63, 65, 69, 71, 72, 80, 82, 90, 91, 95, 114, 117, 122, 125, 132, 143, 157, 167, 171, 181, 189, 190, 210, 218, 219, 227, 237, 241, 251, 255, 262, 271, 277, 291, 300, 305
Offset: 1

Views

Author

Hugo Pfoertner, Jul 07 2024

Keywords

Links

Crossrefs

Cf. A000217, A000290, A373330, A373331, A373332, A374175.

Programs

  • PARI
    a374177(upto) = {my(r=-oo); for(n=0, upto, my(s=n^2, t=s*(s+1)/2, j=t-sqrtint(t)^2); if(j>r, print1(n,", "); r=j))};
a374177(300)
Showing 1-4 of 4 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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