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 1-3 of 3 results.

A067036 Records for the number of integers k such that an integer is of the form k + reverse(k).

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 16, 18, 20, 21, 24, 27, 30, 32, 36, 40, 45, 50, 54, 60, 63, 70, 72, 80, 81, 90, 100, 108, 120, 126, 140, 144, 160, 162, 180, 200, 210, 216, 240, 243, 270, 300, 320, 324, 360, 400, 405, 450, 500, 540, 600, 630, 700, 720, 800, 810
Offset: 1

Views

Author

Klaus Brockhaus, Dec 29 2001

Keywords

Comments

RECORDS transform of A067032. A067035 gives the corresponding integers at which these records are attained.

Examples

			3 is a record since there is an integer n (viz. 33, cf. A067032) such that for three integers k we have n = k + reverse(k) and for m < n there are at most two integers j such that m = j + reverse(j).

Links

Crossrefs

Cf. A067030, A067031, A067032, A067033, A067034, A067035.

Extensions

Offset set to 1 by Giovanni Resta, Jan 16 2020

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
Showing 1-3 of 3 results.

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

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