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 1-5 of 5 results.

A067287 n sets a new record for the number of integers k such that k is not of the form m + reverse(m) for any m and n occurs in the 'Reverse and Add' trajectory of k (cf. A067284).

Original entry on oeis.org

0, 22, 33, 44, 66, 88, 110, 121, 242, 484, 968, 1837, 2222, 3102, 4444, 4884, 7106, 8888, 12221, 24442, 44044, 48884, 88088, 176176, 293392, 295482, 466664, 597795, 688886, 711106, 797797, 930028, 933328, 997799, 1112111, 1197801, 1686861
Offset: 0

Views

Author

Klaus Brockhaus, Feb 04 2002

Keywords

Comments

A067288 gives the corresponding records.

Examples

			33 belongs to the sequence because three integers k (viz. 3, 21, 30) are not of the form j + reverse(j) for any j and 33 occurs in the "Reverse and Add!" trajectory of these k and for m < 33 there are at most two integers which have the corresponding property.

Links

Crossrefs

Cf. A067030, A067031, A067032, A067035, A067036, A067284, A067288.

Extensions

More terms from Larry Reeves (larryr(AT)acm.org), Dec 18 2002

A067288 Records for the number of integers k such that k is not of the form m + reverse(m) for any m and for some n A067030(n) occurs in the 'Reverse and Add' trajectory of k (cf. A067284).

Original entry on oeis.org

1, 2, 3, 5, 8, 12, 13, 21, 22, 30, 38, 39, 42, 46, 71, 90, 94, 150, 254, 286, 404, 434, 578, 586, 602, 643, 758, 799, 813, 847, 1131, 1162, 1169, 1334, 1742, 2093, 2120, 2378, 2663, 2892, 3208, 3383, 3585, 3685, 3999, 4818, 4942, 5766, 5959
Offset: 1

Views

Author

Klaus Brockhaus, Feb 04 2002

Keywords

Comments

Successive maxima in sequence A067284. A067287 gives the corresponding integers at which these records are attained.

Examples

			3 is a record, since for A067030(12) = 33 there are three integers k not of the form j + reverse(j) for any j such that 33 occurs in the "Reverse and Add!" trajectory of these k and for m < 33 there are at most two integers which have the corresponding property.

Links

Crossrefs

Cf. A067030, A067031, A067032, A067035, A067036, A067284, A067287.

Extensions

More terms from Larry Reeves (larryr(AT)acm.org), Dec 18 2002
Offset and a(27) onward corrected by Sean A. Irvine, Dec 12 2023

A067286 a(n) = largest integer k such that k is not of the form m + reverse(m) for any m (cf. A067031) and A067030(n) occurs in the 'Reverse and Add' trajectory of k.

Original entry on oeis.org

0, 1, 1, 3, 1, 5, 5, 3, 7, 1, 9, 20, 30, 40, 50, 60, 70, 80, 90, 100, 91, 92, 93, 120, 94, 95, 130, 96, 97, 140, 98, 90, 150, 200, 160, 210, 170, 220, 180, 230, 190, 240, 250, 300, 260, 310, 270, 320, 280, 330, 290, 340, 350, 400, 360, 410, 370, 420, 380, 430, 390
Offset: 0

Views

Author

Klaus Brockhaus, Feb 04 2002

Keywords

Comments

a(n) <= A067034(n). If A067034(n) is in A067030 then a(n) < A067034(n), otherwise a(n) = A067034(n).

Examples

			a(14) = 50, since A067030(14) = 55 and the five integers 7, 23, 32, 41, 50 are not of the form m + reverse(m) for any m, 55 occurs in the trajectory of each of them and 50 is the largest one. a(25) = 95, since A067030(25) = 154 and the eleven integers 1, 25, 34, 43, 52, 59, 61, 68, 70, 86, 95 are not of the form m + reverse(m) for any m, 154 occurs in the trajectory of each of them and 95 is the largest one.

Links

Crossrefs

Cf. A067030, A067031, A067034, A067284, A067285.

A067285 a(n) = smallest integer k such that k is not of the form m + reverse(m) for any m (cf. A067031) and A067030(n) occurs in the 'Reverse and Add' trajectory of k.

Original entry on oeis.org

0, 1, 1, 3, 1, 5, 5, 3, 7, 1, 9, 5, 3, 5, 7, 3, 1, 5, 9, 100, 7, 7, 3, 120, 49, 1, 130, 69, 5, 140, 89, 9, 150, 100, 160, 111, 170, 7, 180, 131, 190, 120, 151, 102, 130, 112, 171, 122, 140, 3, 191, 142, 152, 100, 162, 113, 172, 111, 182, 133, 192, 7, 153, 104, 131, 114
Offset: 0

Views

Author

Klaus Brockhaus, Feb 04 2002

Keywords

Comments

a(n) <= A067033(n).

Examples

			a(14) = 7, since A067030(14) = 55 and the five integers 7, 23, 32, 41, 50 are not of the form m + reverse(m) for any m, 55 occurs in the trajectory of each of them and 7 is the smallest one. a(25) = 1, since A067030(25) = 154 and the eleven integers 1, 25, 34, 43, 52, 59, 61, 68, 70, 86, 95 are not of the form m + reverse(m) for any m, 154 occurs in the trajectory of each of them and 1 is the smallest one.

Links

Crossrefs

Cf. A067030, A067031, A067033, A067284, A067286.

A067737 Integers n such that [number of integers k such that k is not of the form m + reverse(m) for any m and n occurs in the "Reverse and Add!" trajectory of k] is greater than [number of integers k such that n = k + reverse(k)].

Original entry on oeis.org

44, 66, 88, 110, 121, 132, 154, 176, 198, 242, 363, 404, 444, 484, 505, 524, 545, 564, 585, 605, 606, 625, 646, 665, 686, 707, 726, 747, 766, 787, 808, 827, 847, 848, 867, 888, 909, 928, 949, 968, 989, 1010, 1029, 1050, 1069, 1089, 1090, 1111, 1130, 1151
Offset: 1

Views

Author

Klaus Brockhaus, Feb 04 2002

Keywords

Comments

Integers n such that n = A067030(j) for some j and A067284(j) > A067032(j).

Examples

			44 = A067030(13) is in the sequence, since there are five integers k (viz. 5, 13, 20, 31, 40; A067284(13) = 5) such that k is not of the form m + reverse(m) for any m and 44 occurs in the "Reverse and Add!" trajectory of k, but only four integers k (viz. 13, 22, 31, 40; A067032(13) = 4) such that 44 = k + reverse(k).

Links

Crossrefs

Cf. A067030, A067031, A067032, A067284.
Showing 1-5 of 5 results.

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