login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A175931 Numbers n such that A129363(n-1) = A129363(n) = A129363(n+1). 2

%I #4 Mar 30 2012 18:52:40

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

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

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

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

%C No further term between 2103 and 26000 - [From _R. J. Mathar_, Oct 24 2010]

%e 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.

%e 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.

%e A129363(47) = A129363(48) = A129363(49) = 0 (there are no partitions of 94, 96, 98), hence 48 is in the sequence.

%Y Cf. A129363, A001097 (twin primes).

%K nonn

%O 1,1

%A _Juri-Stepan Gerasimov_, Oct 23 2010

%E Corrected (term 1 removed) and edited by _Klaus Brockhaus_, Oct 28 2010

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 27 14:49 EDT 2024. Contains 372019 sequences. (Running on oeis4.)