[seqfan] a(n)+a(n+1) = palindromic prime
Veikko Pohjola
veikko at nordem.fi
Thu Nov 11 19:44:33 CET 2010
This somewhat awkwardly fluctuating sequence was presented to me recently:
1, 2, 3, 4, 7, 94, 37, 114, 67, 124, 189, 164, 209, 174, 553, 204, 583, 214, 705, 224, 10077, ... The sums of its pairs of adjacent terms are the odd palindromic primes in ascending order.
The same result is obtained also with the sequences
2, 1, 4, 3, 8, 93, 38, 113, ...
0, 3, 2, 5, 6, 95, 36, 115, ...
3, 0, 5, 2, 9, 92, 39, 112, ...
Obviously these four form the set of all sequences leading to the same result.
Veikko
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