A063057 -id:A063057 - cp's OEIS frontend

A063058 Integers n > 7059 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 7059.

7149, 7239, 7329, 7419, 7509, 7599, 7689, 7779, 7869, 7959, 8058, 8148, 8238, 8328, 8418, 8508, 8598, 8688, 8868, 8958, 9057, 9147, 9237, 9327, 9417, 9507, 9597, 9687, 9777, 9867, 9957, 13596, 14586, 15576, 16566, 17292, 17556, 18096, 18282, 18546

Offset: 0

Klaus Brockhaus, Jul 07 2001

Subsequence of A023108.

			The trajectory of 7239 reaches 16566 in one step and 16566 is a term in the trajectory of 7059, so 7239 belongs to the present sequence. The corresponding term in A063059, giving the number of steps, accordingly is 1.

Index entries for sequences related to Reverse and Add!

A033865, A023108, A063057, A063059.

A063059 a(n) = number of 'Reverse and Add!' operations that have to be applied to the n-th term of A063058 in order to obtain a term in the trajectory of 7059.

Original entry on oeis.org

1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 3, 2, 1, 3, 2, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 3, 2, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 3, 2, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 3, 2, 1, 3, 2, 1

Offset: 0

Klaus Brockhaus, Jul 07 2001

			7239 is a term of A063058. One 'Reverse and Add!' operation applied to 7239 leads to a term (16566) in the trajectory of 7059, so the corresponding term of the present sequence is 1.

Index entries for sequences related to Reverse and Add!

A023108, A033865, A063057, A063058.

A070001 Palindromic integers > 0, whose 'Reverse and Add!' trajectory (presumably) does not lead to another palindrome.

Original entry on oeis.org

4994, 8778, 9999, 11811, 19591, 22822, 23532, 23632, 23932, 24542, 24742, 24842, 24942, 26362, 27372, 29792, 29892, 33933, 34543, 34743, 34943, 39493, 44744, 46064, 46164, 46364, 46564, 46964, 47274, 47574, 48284, 48584, 48684, 48884

Offset: 1

Klaus Brockhaus, May 06 2002

The computation of a trajectory was stopped when in 1000 steps no further palindrome appeared. Subsequence of A002113 and of A023108.

			The initial terms of the trajectory of the palindromic integer 8778 are 8778, 17556, 83127 and 83127 is the third term in the trajectory of 7059 (see A063057) which (presumably) never leads to a palindrome (see A063048), so 8778 is in the present sequence.

Index entries for sequences related to Reverse and Add!

Cf. A002113, A023108, A063057, A063048.

{stop=1000; for(k=1,50000,m=k; c=0; p=1; while(c0,d=divrem(n,10); n=d[1]; rev=10*rev+d[2]); if(m==k&&rev!=m,p=0); if(m>k&&rev==m,p=0); m=m+rev; c++); if(c==stop&&p==1,print1(k,",")))}

cp's OEIS Frontend

A063058 Integers n > 7059 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 7059.

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A063059 a(n) = number of 'Reverse and Add!' operations that have to be applied to the n-th term of A063058 in order to obtain a term in the trajectory of 7059.

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A070001 Palindromic integers > 0, whose 'Reverse and Add!' trajectory (presumably) does not lead to another palindrome.

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