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.

Previous Showing 11-17 of 17 results.

A090062 There is (presumably) one and only one palindrome in the Reverse and Add! trajectory of n.

Original entry on oeis.org

89, 98, 167, 187, 266, 286, 365, 385, 479, 563, 578, 583, 662, 677, 682, 749, 761, 776, 779, 781, 829, 860, 869, 875, 880, 899, 928, 947, 968, 974, 977, 998, 1077, 1093, 1098, 1167, 1183, 1188, 1257, 1273, 1278, 1297, 1347, 1363, 1368, 1387, 1396, 1397, 1437
Offset: 1

Views

Author

Klaus Brockhaus, Nov 20 2003

Keywords

Comments

For terms < 2000 the only palindrome is reached from the start in at most 24 steps; thereafter no further palindrome is reached in 2000 steps.

Examples

			The trajectory of 479 begins 479, 1453, 4994, 9988, 18887, ...; at 9988 it joins the (presumably) palindrome-free trajectory of A063048(3) = 1997, hence 4994 is the only palindrome in the trajectory of 479 and 479 is a term.

Links

Crossrefs

Cf. A023108, A023109, A065001, A070742, A077594.

A090063 Numbers n such that there are (presumably) two palindromes in the Reverse and Add! trajectory of n.

Original entry on oeis.org

49, 58, 67, 76, 85, 94, 108, 118, 127, 133, 143, 148, 153, 173, 177, 178, 198, 207, 217, 226, 239, 247, 276, 277, 279, 297, 306, 316, 325, 331, 338, 339, 341, 346, 349, 351, 371, 375, 376, 378, 379, 396, 405, 415, 419, 430, 437, 438, 440, 445, 448, 450, 464
Offset: 1

Views

Author

Klaus Brockhaus, Nov 20 2003

Keywords

Comments

For terms < 2000 each palindrome is reached from the preceding one or from the start in at most 24 steps; after the presumably last one no further palindrome is reached in 2000 steps.

Examples

			The trajectory of 118 begins 118, 929, 1858, 10439, 103840, 152141, 293392, 586784, 1074469, ...; at 1074469 it joins the (presumably) palindrome-free trajectory of A063048(72) = 90379, hence 929 and 293392 are the two palindromes in the trajectory of 118 and 118 is a term.

Links

Crossrefs

Cf. A023108, A023109, A065001, A070742, A077594.

A090064 Numbers n such that there are (presumably) three palindromes in the Reverse and Add! trajectory of n.

Original entry on oeis.org

18, 27, 36, 45, 54, 63, 69, 72, 78, 81, 87, 90, 96, 99, 113, 125, 126, 128, 137, 146, 149, 156, 157, 162, 163, 165, 168, 169, 172, 175, 180, 183, 188, 189, 193, 194, 195, 197, 220, 224, 225, 227, 232, 236, 242, 245, 248, 252, 255, 256, 259, 261, 264, 267, 268
Offset: 1

Views

Author

Klaus Brockhaus, Nov 20 2003

Keywords

Comments

For terms < 2000 each palindrome is reached from the preceding one or from the start in at most 24 steps; after the presumably last one no further palindrome is reached in 2000 steps.

Examples

			The trajectory of 113 begins 113, 424, 848, 1696, 8657, 16225, 68486, 136972, 416603, ...; at 416603 it joins the (presumably) palindrome-free trajectory of A063048(16) = 10735, hence 424, 848 and 68486 are the three palindromes in the trajectory of 113 and 113 is a term.

Links

Crossrefs

Cf. A023108, A023109, A065001, A070742, A077594.

A090065 Numbers n such that there are (presumably) four palindromes in the Reverse and Add! trajectory of n.

Original entry on oeis.org

9, 19, 28, 29, 37, 38, 39, 46, 47, 48, 56, 57, 64, 65, 73, 74, 75, 82, 83, 84, 91, 92, 93, 110, 112, 121, 124, 132, 134, 135, 136, 138, 144, 147, 155, 164, 166, 174, 182, 186, 190, 192, 211, 212, 219, 223, 229, 230, 231, 233, 234, 235, 237, 240, 243, 246, 249
Offset: 1

Views

Author

Klaus Brockhaus, Nov 20 2003

Keywords

Comments

For terms < 2000 each palindrome is reached from the preceding one or from the start in at most 24 steps; after the presumably last one no further palindrome is reached in 2000 steps.

Examples

			The trajectory of 134 begins 134, 565, 1130, 1441, 2882, 5764, 10439, 103840, 152141, 293392, 586784, 1074469, ...; at 1074469 it joins the (presumably) palindrome-free trajectory of A063048(72) = 90379, hence 565, 1441, 2882 and 293392 are the four palindromes in the trajectory of 134 and 134 is a term.

Links

Crossrefs

Cf. A023108, A023109, A065001, A070742, A077594.

A090066 Numbers n such that there are (presumably) five palindromes in the Reverse and Add! trajectory of n.

Original entry on oeis.org

14, 15, 23, 24, 32, 41, 42, 50, 51, 55, 60, 66, 79, 97, 105, 106, 107, 119, 120, 123, 129, 130, 131, 140, 141, 152, 159, 161, 171, 176, 179, 181, 184, 185, 199, 204, 205, 206, 218, 228, 251, 258, 269, 275, 278, 283, 284, 290, 298, 304, 305, 317, 319, 321, 327
Offset: 1

Views

Author

Klaus Brockhaus, Nov 20 2003

Keywords

Comments

For terms < 2000 each palindrome is reached from the preceding one or from the start in at most 24 steps; after the presumably last one no further palindrome is reached in 2000 steps.

Examples

			The trajectory of 106 begins 106, 707, 1414, 5555, 11110, 12221, 24442, 48884, 97768, ...; at 97768 it joins the (presumably) palindrome-free trajectory of A063048(3) = 1997, hence 707, 5555, 12221, 24442 and 48884 are the five palindromes in the trajectory of 106 and 106 is a term.

Links

Crossrefs

Cf. A023108, A023109, A065001, A070742, A077594.

A090067 Numbers n such that there are (presumably) six palindromes in the Reverse and Add! trajectory of n.

Original entry on oeis.org

7, 12, 17, 21, 26, 30, 33, 35, 53, 59, 62, 68, 71, 80, 86, 88, 95, 102, 103, 109, 114, 117, 142, 150, 154, 170, 191, 201, 208, 209, 210, 213, 216, 222, 241, 253, 300, 301, 303, 307, 308, 312, 315, 329, 340, 352, 359, 383, 389, 400, 404, 406, 407, 411, 428, 451
Offset: 1

Views

Author

Klaus Brockhaus, Nov 20 2003

Keywords

Comments

For terms < 2000 each palindrome is reached from the preceding one or from the start in at most 24 steps; after the presumably last one no further palindrome is reached in 2000 steps.

Examples

			The trajectory of 154 begins 154, 605, 1111, 2222, 4444, 8888, 17776, 85547, 160105, 661166, 1322332, 3654563, 7309126, ...; at 7309126 it joins the (presumably) palindrome-free trajectory of A063048(7) = 10577, hence 525, 1551, 5115, 13431, 26862 and 12455421 are the six palindromes in the trajectory of 154 and 154 is a term.

Links

Crossrefs

Cf. A023108, A023109, A065001, A070742, A077594.

A090068 Numbers n such that there are (presumably) seven palindromes in the Reverse and Add! trajectory of n.

Original entry on oeis.org

6, 13, 16, 25, 31, 34, 40, 43, 44, 52, 61, 70, 77, 104, 111, 115, 145, 158, 200, 202, 203, 214, 244, 250, 257, 302, 356, 399, 401, 412, 414, 442, 455, 498, 500, 505, 511, 519, 529, 541, 554, 597, 610, 618, 626, 628, 640, 653, 656, 686, 752, 795, 797, 816, 826
Offset: 1

Views

Author

Klaus Brockhaus, Nov 20 2003

Keywords

Comments

For terms < 2000 each palindrome is reached from the preceding one or from the start in at most 24 steps; after the presumably last one no further palindrome is reached in 2000 steps.

Examples

			The trajectory of 25 begins 25, 77, 154, 605, 1111, 2222, 4444, 8888, 17776, 85547, 160105, 661166, 1322332, 3654563,7309126, ...; at 7309126 it joins the (presumably) palindrome-free trajectory of A063048(7) = 10577, hence 77, 1111, 2222, 4444, 8888, 661166 and 3654563 are the seven palindromes in the trajectory of 25 and 25 is a term.

Links

Crossrefs

Cf. A023108, A023109, A065001, A070742, A077594.
Previous Showing 11-17 of 17 results.

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

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