A117828 -id:A117828 - cp's OEIS frontend

A118217 Start with 1 and repeatedly reverse the digits and add 70 to get the next term.

1, 71, 87, 148, 911, 189, 1051, 1571, 1821, 1351, 1601, 1131, 1381, 1901, 1161, 1681, 1931, 1461, 1711, 1241, 1491, 2011, 1172, 2781, 1942, 2561, 1722, 2341, 1502, 2121, 1282, 2891, 2052, 2572, 2822, 2352, 2602, 2132, 2382, 2902, 2162, 2682, 2932, 2462

Offset: 1

Luc Stevens (lms022(AT)yahoo.com), May 14 2006

Never cycles (see A117816).

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[IntegerReverse[#]+70&,1,50] (* Harvey P. Dale, Sep 11 2023 *)

A118225 Start with 1 and repeatedly reverse the digits and add 74 to get the next term.

Original entry on oeis.org

1, 75, 131, 205, 576, 749, 1021, 1275, 5795, 6049, 9480, 923, 403, 378, 947, 823, 402, 278, 946, 723, 401, 178, 945, 623, 400, 78, 161, 235, 606, 680, 160, 135, 605, 580, 159, 1025, 5275, 5799, 10049, 94075, 57123, 32249, 94297, 79323, 32471, 17497, 79545

Offset: 1

Luc Stevens (lms022(AT)yahoo.com), May 14 2006

After 192 steps enters a cycle of 90.

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[74+IntegerReverse[#]&,1,50] (* Harvey P. Dale, Jan 05 2022 *)

a(14) corrected by Georg Fischer, Jul 17 2020

A118525 Start with 1 and repeatedly reverse the digits and add 6 to get the next term.

Original entry on oeis.org

1, 7, 13, 37, 79, 103, 307, 709, 913, 325, 529, 931, 145, 547, 751, 163, 367, 769, 973, 385, 589, 991, 205, 508, 811, 124, 427, 730, 43, 40, 10, 7, 13, 37, 79, 103, 307, 709, 913, 325, 529, 931, 145, 547, 751, 163, 367, 769, 973, 385, 589, 991

Offset: 1

N. J. A. Sloane, May 06 2006

After the initial term, the sequence enters the cycle (7, 13, 37, ..., 10) of length 30.

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, 1).

Cf. A117828, A117816, A117817.

NestList[FromDigits[Reverse[IntegerDigits[#]]]+6&,1,60]  (* Harvey P. Dale, Apr 22 2011 *)

a(n,s=1)={n>1&&for(i=0,(n-2)%30,s=R(s)+6);s} \\ R =  A004086. - M. F. Hasler, May 22 2014

a(n) = a((n-2 mod 30)+2) for all n>1. - M. F. Hasler, May 22 2014

A118526 Start with 1 and repeatedly reverse the digits and add 7 to get the next term.

Original entry on oeis.org

1, 8, 15, 58, 92, 36, 70, 14, 48, 91, 26, 69, 103, 308, 810, 25, 59, 102, 208, 809, 915, 526, 632, 243, 349, 950, 66, 73, 44, 51, 22, 29, 99, 106, 608, 813, 325, 530, 42, 31, 20, 9, 16, 68, 93, 46, 71, 24, 49, 101, 108, 808, 815, 525, 532, 242, 249, 949, 956, 666, 673, 383, 390, 100, 8

Offset: 1

N. J. A. Sloane, May 06 2006

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. A117828, A117816, A117817.

a:= proc(n) option remember; `if`(n=1, 1, 7 +(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

After 1 step enters a cycle of length 63.

A118527 Start with 1 and repeatedly reverse the digits and add 8 to get the next term.

Original entry on oeis.org

1, 9, 17, 79, 105, 509, 913, 327, 731, 145, 549, 953, 367, 771, 185, 589, 993, 407, 712, 225, 530, 43, 42, 32, 31, 21, 20, 10, 9, 17, 79, 105, 509, 913, 327, 731, 145, 549, 953, 367, 771, 185, 589, 993, 407, 712, 225, 530, 43, 42, 32, 31, 21, 20, 10, 9

Offset: 1

N. J. A. Sloane, May 06 2006

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, 1).

Cf. A117828, A117816, A117817.

After 1 step enters a cycle of length 27.

A118528 Start with 1 and repeatedly reverse the digits and add 11 to get the next term.

Original entry on oeis.org

1, 12, 32, 34, 54, 56, 76, 78, 98, 100, 12, 32, 34, 54, 56, 76, 78, 98, 100, 12, 32, 34, 54, 56, 76, 78, 98, 100, 12, 32, 34, 54, 56, 76, 78, 98, 100, 12, 32, 34, 54, 56, 76, 78, 98, 100, 12, 32, 34, 54, 56, 76, 78, 98, 100, 12, 32, 34, 54, 56, 76, 78, 98, 100

Offset: 1

N. J. A. Sloane, May 06 2006

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.

After 1 step enters a cycle of length 9.

A118530 Start with 1 and repeatedly reverse the digits and add 13 to get the next term.

Original entry on oeis.org

1, 14, 54, 58, 98, 102, 214, 425, 537, 748, 860, 81, 31, 26, 75, 70, 20, 15, 64, 59, 108, 814, 431, 147, 754, 470, 87, 91, 32, 36, 76, 80, 21, 25, 65, 69, 109, 914, 432, 247, 755, 570, 88, 101, 114, 424, 437, 747, 760, 80, 21, 25, 65, 69, 109, 914, 432

Offset: 1

N. J. A. Sloane, May 06 2006

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, 1).

Cf. A117828, A117816, A117817.

NestList[FromDigits[Reverse[IntegerDigits[#]]]+13&,1,60] (* Harvey P. Dale, Oct 27 2015 *)

After 31 steps enters a cycle of length 18.

A118531 Start with 1 and repeatedly reverse the digits and add 14 to get the next term.

Original entry on oeis.org

1, 15, 65, 70, 21, 26, 76, 81, 32, 37, 87, 92, 43, 48, 98, 103, 315, 527, 739, 951, 173, 385, 597, 809, 922, 243, 356, 667, 780, 101, 115, 525, 539, 949, 963, 383, 397, 807, 722, 241, 156, 665, 580, 99, 113, 325, 537, 749, 961, 183, 395, 607, 720

Offset: 1

N. J. A. Sloane, May 06 2006

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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Cf. A117828, A117816, A117817.

NestList[FromDigits[Reverse[IntegerDigits[#]]]+14&,1,60] (* Harvey P. Dale, Jul 11 2013 *)

After 15 steps enters a cycle of length 72.

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

Original entry on oeis.org

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

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A118217 Start with 1 and repeatedly reverse the digits and add 70 to get the next term.

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A118225 Start with 1 and repeatedly reverse the digits and add 74 to get the next term.

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A118525 Start with 1 and repeatedly reverse the digits and add 6 to get the next term.

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A118526 Start with 1 and repeatedly reverse the digits and add 7 to get the next term.

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A118527 Start with 1 and repeatedly reverse the digits and add 8 to get the next term.

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A118528 Start with 1 and repeatedly reverse the digits and add 11 to get the next term.

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A118530 Start with 1 and repeatedly reverse the digits and add 13 to get the next term.

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A118531 Start with 1 and repeatedly reverse the digits and add 14 to get the next term.

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

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