A117817 -id:A117817 - cp's OEIS frontend

A118536 Start with 1 and repeatedly reverse the digits and add 36 to get the next term.

1, 37, 109, 937, 775, 613, 352, 289, 1018, 8137, 7354, 4573, 3790, 1009, 9037, 7345, 5473, 3781, 1909, 9127, 7255, 5563, 3691, 1999, 10027, 72037, 73063, 36073, 37099, 99109, 90235, 53245, 54271, 17281, 18307, 70417, 71443, 34453, 35479, 97489, 98515, 51625

Offset: 1

Luc Stevens (lms022(AT)yahoo.com), May 07 2006

This is the first known example of a sequence from this family which reaches a cycle of length 2.

That cycle begins at a(407) and is (64, 82). - Harvey P. Dale, Apr 12 2013

T. D. Noe, Table of n, a(n) for n = 1..500
N. J. A. Sloane and others, Sequences of RADD type, OEIS wiki.
Index entries for linear recurrences with constant coefficients, signature (0, 1).

Cf. A117828, A117816, A117817.

NestList[FromDigits[Reverse[IntegerDigits[#]]]+36&,1,500] (* Harvey P. Dale, Apr 12 2013 *)

After 406 steps enters a cycle of length 2.

Corrected by Harvey P. Dale, Apr 12 2013

A118607 Start with 1 and repeatedly reverse the digits and add 18 to get the next term.

Original entry on oeis.org

1, 19, 109, 919, 937, 757, 775, 595, 613, 334, 451, 172, 289, 1000, 19, 109, 919, 937, 757, 775, 595, 613, 334, 451, 172, 289, 1000, 19, 109, 919, 937, 757, 775, 595, 613, 334, 451, 172, 289, 1000, 19, 109, 919, 937, 757, 775, 595, 613, 334, 451, 172, 289

Offset: 1

Luc Stevens (lms022(AT)yahoo.com), May 08 2006

After 1 step enters a cycle of length 13.

Harvey P. Dale, Table of n, a(n) for n = 1..1000
N. J. A. Sloane and others, Sequences of RADD type, OEIS wiki.
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Cf. A117828, A117816, A117817.

NestList[IntegerReverse[#]+18&,1,60] (* or *) PadRight[{1},120,{1000,19,109,919,937,757,775,595,613,334,451,172,289}] (* Harvey P. Dale, Feb 19 2023 *)

a(n) = a(n-13) for n >= 15. - Wesley Ivan Hurt, Sep 04 2022

A118613 Start with 1 and repeatedly reverse the digits and add 27 to get the next term.

Original entry on oeis.org

1, 28, 109, 928, 856, 685, 613, 343, 370, 100, 28, 109, 928, 856, 685, 613, 343, 370, 100, 28, 109, 928, 856, 685, 613, 343, 370, 100, 28, 109, 928, 856, 685, 613, 343, 370, 100, 28, 109, 928, 856, 685, 613, 343, 370, 100, 28, 109, 928, 856, 685, 613, 343, 370

Offset: 1

Luc Stevens (lms022(AT)yahoo.com), May 08 2006

After 1 step enters a cycle of length 9.

Harvey P. Dale, Table of n, a(n) for n = 1..1000
N. J. A. Sloane and others, Sequences of RADD type, OEIS wiki.
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 1).

Cf. A117828, A117816, A117817.

NestList[IntegerReverse[#]+27&,1,60] (* or *) PadRight[{1},60,{100,28,109,928,856,685,613,343,370}] (* Harvey P. Dale, Apr 20 2025 *)

A118614 Start with 1 and repeatedly reverse the digits and add 28 to get the next term.

Original entry on oeis.org

1, 29, 120, 49, 122, 249, 970, 107, 729, 955, 587, 813, 346, 671, 204, 430, 62, 54, 73, 65, 84, 76, 95, 87, 106, 629, 954, 487, 812, 246, 670, 104, 429, 952, 287, 810, 46, 92, 57, 103, 329, 951, 187, 809, 936, 667, 794, 525, 553, 383, 411, 142, 269, 990, 127, 749

Offset: 1

Luc Stevens (lms022(AT)yahoo.com), May 08 2006

After 31 steps enters a cycle of length 36.

Harvey P. Dale, Table of n, a(n) for n = 1..1000
N. J. A. Sloane and others, Sequences of RADD type, OEIS wiki.
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Cf. A117828, A117816, A117817.

NestList[IntegerReverse[#]+28&,1,80] (* Harvey P. Dale, Jun 09 2024 *)

A118636 Start with 1 and repeatedly reverse the digits and add 40 to get the next term.

Original entry on oeis.org

1, 41, 54, 85, 98, 129, 961, 209, 942, 289, 1022, 2241, 1462, 2681, 1902, 2131, 1352, 2571, 1792, 3011, 1143, 3451, 1583, 3891, 2023, 3242, 2463, 3682, 2903, 3132, 2353, 3572, 2793, 4012, 2144, 4452, 2584, 4892, 3024, 4243, 3464, 4683, 3904, 4133, 3354

Offset: 1

Luc Stevens (lms022(AT)yahoo.com), May 09 2006

Harvey P. Dale, Table of n, a(n) for n = 1..1000
N. J. A. Sloane and others, Sequences of RADD type, OEIS wiki.

Cf. A117828, A117816, A117817.

NestList[FromDigits[Reverse[IntegerDigits[#]]]+40&,1,50]  (* Harvey P. Dale, Dec 26 2010 *)
NestList[IntegerReverse[#]+40&,1,50] (* Harvey P. Dale, Aug 05 2025 *)

Never reaches a cycle (see A117816).

A118637 Start with 1 and repeatedly reverse the digits and add 30 to get the next term.

Original entry on oeis.org

1, 31, 43, 64, 76, 97, 109, 931, 169, 991, 229, 952, 289, 1012, 2131, 1342, 2461, 1672, 2791, 2002, 2032, 2332, 2362, 2662, 2692, 2992, 3022, 2233, 3352, 2563, 3682, 2893, 4012, 2134, 4342, 2464, 4672, 2794, 5002, 2035, 5332, 2365, 5662, 2695, 5992, 3025

Offset: 1

Luc Stevens (lms022(AT)yahoo.com), May 09 2006

Harvey P. Dale, Table of n, a(n) for n = 1..1000
N. J. A. Sloane and others, Sequences of RADD type, OEIS wiki.

Cf. A117828, A117816, A117817.

NestList[FromDigits[Reverse[IntegerDigits[#]]]+30&,1,60] (* Harvey P. Dale, Jul 19 2014 *)

Never reaches a cycle (see A117816).

Corrected by Harvey P. Dale, Jul 19 2014

A118074 Start with 1 and repeatedly reverse the digits and add 41 to get the next term.

Original entry on oeis.org

1, 42, 65, 97, 120, 62, 67, 117, 752, 298, 933, 380, 124, 462, 305, 544, 486, 725, 568, 906, 650, 97, 120, 62, 67, 117, 752, 298, 933, 380, 124, 462, 305, 544, 486, 725, 568, 906, 650, 97, 120, 62, 67, 117, 752, 298, 933, 380, 124, 462, 305, 544, 486, 725

Offset: 1

Luc Stevens (lms022(AT)yahoo.com), May 11 2006

After 3 steps enters a cycle of length 18.

N. J. A. Sloane and others, Sequences of RADD type, OEIS wiki.

Cf. A117828, A117816, A117817.

NestList[FromDigits[Reverse[IntegerDigits[#]]]+41&,1,60] (* Harvey P. Dale, May 28 2014 *)

Corrected by Harvey P. Dale, May 28 2014

A118075 Start with 1 and repeatedly reverse the digits and add 42 to get the next term.

Original entry on oeis.org

1, 43, 76, 109, 943, 391, 235, 574, 517, 757, 799, 1039, 9343, 3481, 1885, 5923, 3337, 7375, 5779, 9817, 7231, 1369, 9673, 3811, 1225, 5263, 3667, 7705, 5119, 9157, 7561, 1699, 10003, 30043, 34045, 54085, 58087, 78127, 72229, 92269, 96271, 17311, 11413

Offset: 1

Luc Stevens (lms022(AT)yahoo.com), May 11 2006

After 245 steps enters a cycle of length 57. Sequence gives first 50 terms. Cycle : 985, 631, 178, 913, 361, 205, 544, 487, 826, 670, 118, 853, 400, 46, 106, 643, 388, 925, 571, 217, 754, 499, 1036, 6343, 3478, 8785, 5920, 337, 775, 619, 958, 901, 151, 193, 433, 376, 715, 559, 997, 841, 190, 133, 373, 415, 556, 697, 868, 880, 130, 73, 79, 139, 973, 421, 166, 703, 349, 985 ...

N. J. A. Sloane and others, Sequences of RADD type, OEIS wiki.

Cf. A117828, A117816, A117817.

NestList[FromDigits[Reverse[IntegerDigits[#]]]+42&,1,50] (* Harvey P. Dale, Oct 05 2014 *)

Corrected by Harvey P. Dale, Oct 05 2014

A118087 Start with 1 and repeatedly reverse the digits and add 43 to get the next term.

Original entry on oeis.org

1, 44, 87, 121, 164, 504, 448, 887, 831, 181, 224, 465, 607, 749, 990, 142, 284, 525, 568, 908, 852, 301, 146, 684, 529, 968, 912, 262, 305, 546, 688, 929, 972, 322, 266, 705, 550, 98, 132, 274, 515, 558, 898, 941, 192, 334, 476, 717, 760, 110, 54, 88, 131, 174, 514, 458, 897, 841, 191, 234, 475, 617, 759, 1000, 44

Offset: 1

Luc Stevens (lms022(AT)yahoo.com), May 11 2006

After 1 step enters a cycle of length 63.

N. J. A. Sloane and others, Sequences of RADD type, OEIS wiki.
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Cf. A004086, A117828, A117816, A117817.

a:= proc(n) option remember; `if`(n=1, 1, 43 +(s-> parse(
      cat(seq(s[-i], i=1..length(s)))))(cat("", a(n-1))))
    end:
seq(a(n), n=1..65);  # Alois P. Heinz, Nov 07 2019

a(n) = 43 + A004086(a(n-1)) for n > 1, a(1) = 1. - Alois P. Heinz, Nov 07 2019

a(43)-a(52) corrected and more terms added by Alois P. Heinz, Nov 07 2019

A118091 Start with 1 and repeatedly reverse the digits and add 46 to get the next term.

Original entry on oeis.org

1, 47, 120, 67, 122, 267, 808, 854, 504, 451, 200, 48, 130, 77, 123, 367, 809, 954, 505, 551, 201, 148, 887, 834, 484, 530, 81, 64, 92, 75, 103, 347, 789, 1033, 3347, 7479, 9793, 4025, 5250, 571, 221, 168, 907, 755, 603, 352, 299, 1038, 8347, 7484, 4893

Offset: 1

Luc Stevens (lms022(AT)yahoo.com), May 11 2006

After 422 steps enters a cycle of 90. All 90 numbers of the cycle are 4-digit numbers.

N. J. A. Sloane and others, Sequences of RADD type, OEIS wiki.

Cf. A117828, A117816, A117817.

NestList[FromDigits[Reverse[IntegerDigits[#]]]+46&,1,50] (* Harvey P. Dale, Sep 24 2013 *)
NestList[IntegerReverse[#]+46&,1,60] (* Harvey P. Dale, Sep 02 2025 *)

Corrected by Harvey P. Dale, Sep 24 2013

cp's OEIS Frontend

A118536 Start with 1 and repeatedly reverse the digits and add 36 to get the next term.

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A118607 Start with 1 and repeatedly reverse the digits and add 18 to get the next term.

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A118613 Start with 1 and repeatedly reverse the digits and add 27 to get the next term.

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A118614 Start with 1 and repeatedly reverse the digits and add 28 to get the next term.

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A118636 Start with 1 and repeatedly reverse the digits and add 40 to get the next term.

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A118637 Start with 1 and repeatedly reverse the digits and add 30 to get the next term.

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A118074 Start with 1 and repeatedly reverse the digits and add 41 to get the next term.

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A118075 Start with 1 and repeatedly reverse the digits and add 42 to get the next term.

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A118087 Start with 1 and repeatedly reverse the digits and add 43 to get the next term.