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 1-6 of 6 results.

A349095 Where ones occur in A349082. These correspond to rationals, 0 < p/q < 1, that have a unique solution, p/q = 1/x + 1/y, 0 < x < y.

Original entry on oeis.org

1, 2, 3, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 19, 25, 26, 27, 31, 32, 33, 34, 38, 40, 41, 42, 43, 46, 47, 48, 49, 51, 59, 61, 63, 64, 65, 67, 68, 73, 80, 82, 83, 85, 86, 87, 94, 96, 97, 100, 101, 110, 113, 114, 115, 117, 121, 122, 123, 126, 129, 142, 143, 144, 145, 146, 147, 148
Offset: 1

Views

Author

Jud McCranie, Dec 24 2021

Keywords

Comments

For index k, p/q = A002260(k)/A003057(k).

Examples

			6 is a term because A349082(6)=1, indicating that 3/4 = 1/x + 1/y has a unique solution, 1/2 + 1/4.

Links

Crossrefs

Cf. A349082, A002260, A003057, A349090.

A349091 Where zeros occur in A349083. These correspond to rationals, 0 < p/q < 1, that have no solution p/q = 1/x + 1/y + 1/z, 0 < x < y < z.

Original entry on oeis.org

53, 54, 55, 78, 91, 120, 128, 134, 135, 136, 162, 167, 168, 170, 171, 210, 226, 228, 230, 231, 246, 247, 248, 249, 250, 251, 252, 253, 288, 298, 299, 300, 319, 321, 323, 324, 325, 345, 347, 350, 351, 377, 378, 390, 392, 396, 397, 398, 399, 401, 402, 403, 404, 405, 406, 435, 447, 450, 453, 457, 458, 459, 460, 462, 463, 464, 465
Offset: 1

Views

Author

Jud McCranie, Dec 12 2021

Keywords

Comments

For index k, p/q = A002260(k)/A003057(k).

Examples

			53 is a term because A349083(53)=0, indicating that 8/11 = 1/x + 1/y + 1/z has no solution.

Links

Crossrefs

Cf. A349082, A002260, A003057, A349090, A349092.

A349092 Where zeros occur in A349084. These correspond to rationals, 0 < p/q < 1, that have no solution p/q = 1/w + 1/x + 1/y + 1/z, 0 < w < x < y < z.

Original entry on oeis.org

136, 252, 253, 405, 406, 465, 560, 561, 666, 703, 741, 810, 814, 818, 820, 895, 900, 901, 902, 1032, 1034, 1070, 1073, 1074, 1078, 1079, 1080, 1081, 1174, 1225, 1273, 1326, 1370, 1373, 1376, 1377, 1378, 1485, 1587, 1596, 1649, 1650, 1652, 1653, 1681, 1682, 1700, 1702, 1706, 1707, 1708, 1709, 1710, 1711, 1808
Offset: 1

Views

Author

Jud McCranie, Dec 12 2021

Keywords

Comments

For index k, p/q = A002260(k)/A003057(k).

Examples

			136 is a term because A349084(136)=0, indicating that 16/17 = 1/w + 1/x + 1/y + 1/z has no solution.

Links

Crossrefs

Cf. A349082, A002260, A003057, A349090, A349091.

A349096 Where ones occur in A349083. These correspond to rationals, 0 < p/q < 1, that have a unique solution, p/q = 1/x + 1/y + 1/z, 0 < x < y < z.

Original entry on oeis.org

15, 21, 36, 45, 65, 72, 75, 76, 77, 89, 90, 105, 118, 131, 132, 133, 151, 152, 153, 165, 166, 169, 189, 190, 206, 207, 208, 209, 225, 227, 229, 241, 242, 245, 273, 276, 292, 293, 294, 295, 297, 312, 317, 318, 320, 322, 348, 349, 373, 374, 375, 376, 387, 391, 400, 431
Offset: 1

Views

Author

Jud McCranie, Dec 26 2021

Keywords

Comments

For index k, p/q = A002260(k)/A003057(k).

Examples

			15 is a term because A349083(15)=1, indicating that 5/6 = 1/x + 1/y + 1/z has a unique solution: 1/2 + 1/4 + 1/12.

Crossrefs

Cf. A349083, A002260, A003057, A349090, A349095.

A349097 Where ones occur in A349084. These correspond to rationals, 0 < p/q < 1, that have a unique solution, p/q = 1/w + 1/x + 1/y + 1/z, 0 < w < x < y < z.

Original entry on oeis.org

171, 250, 325, 402, 404, 458, 463, 464, 496, 595, 660, 663, 665, 702, 817, 819, 893, 896, 899, 903, 946, 1028, 1033, 1035, 1076, 1077, 1168, 1172, 1175, 1176, 1274, 1275, 1325, 1352, 1360, 1363, 1365, 1369, 1374, 1375, 1482, 1484, 1594, 1595, 1643
Offset: 1

Views

Author

Jud McCranie, Dec 26 2021

Keywords

Comments

For index k, p/q = A002260(k)/A003057(k).

Examples

			171 is a term because A349084(171) = 1, indicating that 18/19 = 1/w + 1/x + 1/y + 1/z has a unique solution: 1/2 + 1/3 + 1/9 + 1/342.

Crossrefs

Cf. A349084, A002260, A003057, A349090, A349095, A349096.

A349098 Where ones occur in A349085. These correspond to rationals, 0 < p/q < 1, that have a unique solution, p/q = 1/v + 1/w + 1/x + 1/y + 1/z, 0 < v < w < x < y < z.

Original entry on oeis.org

2211, 3402, 3403, 3912, 3914, 3916, 4656, 5048, 5565, 5867, 6326, 8505, 8507, 8910, 9293, 9294, 9313, 9578, 9586, 9587, 9588, 10585, 11002, 11017, 11308, 11317, 11322, 11324, 11935, 12242, 12244, 12245, 12558, 12560, 13193, 13194, 13692, 13694, 13834
Offset: 1

Views

Author

Jud McCranie, Dec 31 2021

Keywords

Comments

For index k, p/q = A002260(k)/A003057(k).

Examples

			11002 is a term because A349085(11002) = 1, indicating that 124/149 = 1/v + 1/w + 1/x + 1/y + 1/z has a unique solution, namely 1/2 + 1/4 + 1/13 + 1/189 + 1/1464372.

Crossrefs

Cf. A349085, A002260, A003057, A349090, A349095, A349096, A349097.
Showing 1-6 of 6 results.

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

Content is available under The OEIS End-User License Agreement.