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A175931 Numbers n such that A129363(n-1) = A129363(n) = A129363(n+1). 2
8, 9, 48, 54, 198, 201, 258, 348, 393, 453, 558, 573, 633, 678, 1623, 2103 (list; graph; refs; listen; history; text; internal format)
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 * A042847 A121330 A152189

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

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Last modified November 28 10:48 EST 2014. Contains 250322 sequences.