A175931 Numbers n such that A129363(n-1) = A129363(n) = A129363(n+1).

8, 9, 48, 54, 198, 201, 258, 348, 393, 453, 558, 573, 633, 678, 1623, 2103

Offset

1,1

Comments

A129363(n) is the number of partitions of 2*n into the sum of two twin primes.

Conjecture: Sequence is finite and complete with last term 2103.

No further term between 2103 and 26000 - [From R. J. Mathar, Oct 24 2010]

Links

Table of n, a(n) for n=1..16.

Example

A129363(8) = A129363(9) = A129363(10) = 2 (the partitions are 16 = 3+13 = 5+11, 18 = 5+13 = 7+11, 20 = 3+17 = 7+13), hence 9 is in the sequence.
A129363(197) = A129363(198) = A129363(199) = 1 (the partitions are 394 = 197+197, 396 = 197+199, 398 = 199+199), hence 198 is in the sequence.
A129363(47) = A129363(48) = A129363(49) = 0 (there are no partitions of 94, 96, 98), hence 48 is in the sequence.

Crossrefs

Cf. A129363, A001097 (twin primes).

Sequence in context: A037957 A165239 A103315 * A270013 A341526 A042847

Adjacent sequences: A175928 A175929 A175930 * A175932 A175933 A175934

Keyword

nonn

Author

Juri-Stepan Gerasimov, Oct 23 2010

Extensions

Corrected (term 1 removed) and edited by Klaus Brockhaus, Oct 28 2010

Status

approved