A063051 -id:A063051 - cp's OEIS frontend

A033651 Trajectory of 9 under map x->x + (x-with-digits-reversed).

9, 18, 99, 198, 1089, 10890, 20691, 40293, 79497, 158994, 658845, 1207701, 2284722, 4559544, 9019098, 17928207, 88211178, 175322466, 839546037, 1570191975, 7362102726, 13634115363, 49985258994, 99970517988, 188942025987, 978462275868, 1847034540747, 9317488848228

Offset: 0

N. J. A. Sloane

Trajectories of 27, 36, 45, 54, 63, 72, 81, 90, ..., merge into this sequence. - Robert G. Wilson v, Dec 16 2005.

Alois P. Heinz, Table of n, a(n) for n = 0..1000 (first 251 terms from Reinhard Zumkeller)
Index entries for sequences related to Reverse and Add!

Cf. A006960, A001127, A033648, A033649, A033650.
Cf. A056964, A004086.
Row n=9 of A243238.
Partial sums of A112296.

a063051 n = a063051_list !! n
a063051_list = iterate a056964 879 -- Reinhard Zumkeller, Sep 22 2011

a:= proc(n) option remember; `if`(n=0, 9, (h-> h+ (s->
      parse(cat(s[-i]$i=1..length(s))))(""||h))(a(n-1)))
    end:
seq(a(n), n=0..40);  # Alois P. Heinz, Jun 18 2014

NestList[ # + FromDigits@Reverse@IntegerDigits@# &, 9, 26] (* Robert G. Wilson v *)

A063052 Integers n > 879 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 879.

Original entry on oeis.org

978, 1497, 1587, 1677, 1767, 1857, 1947, 2496, 2586, 2676, 2766, 2856, 2946, 3495, 3585, 3675, 3765, 3855, 3945, 4494, 4584, 4674, 4764, 4854, 4944, 5493, 5583, 5673, 5763, 5853, 5943, 6492, 6582, 6672, 6762, 6852, 6942, 7491, 7581, 7671, 7761, 7851

Offset: 1

Klaus Brockhaus, Jul 07 2001

Subsequence of A023108.

			The trajectory of 1497 reaches 9438 in one step and 9438 is a term in the trajectory of 879, so 1497 belongs to the present sequence. The corresponding term in A063053, giving the number of steps, accordingly is 1.

Index entries for sequences related to Reverse and Add!

Cf. A033865, A023108, A063051, A063053.

Offset corrected by Sean A. Irvine, Apr 17 2023

A063053 a(n) = number of 'Reverse and Add!' operations that have to be applied to the n-th term of A063052 in order to obtain a term in the trajectory of 879.

Original entry on oeis.org

1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 4, 5, 4, 3, 4, 5, 3, 4, 3, 4, 3, 4, 3, 1, 3, 0, 3, 1, 3, 1, 4, 5, 4, 5, 3, 4, 5, 3, 4, 3, 4, 3, 4, 3

Offset: 0

Klaus Brockhaus, Jul 07 2001

			1497 is a term of A063052. One 'Reverse and Add!' operation applied to 1497 leads to a term (9438) in the trajectory of 879, so the corresponding term of the present sequence is 1.

Index entries for sequences related to Reverse and Add!

A023108, A033865, A063051, A063052.

cp's OEIS Frontend

A033651 Trajectory of 9 under map x->x + (x-with-digits-reversed).

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A063052 Integers n > 879 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 879.

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A063053 a(n) = number of 'Reverse and Add!' operations that have to be applied to the n-th term of A063052 in order to obtain a term in the trajectory of 879.

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