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!)
A239565 (Round(c^prime(n)) - 1)/prime(n), where c is the hexanacci constant (A118427). 2

%I #20 Jan 02 2023 12:30:50

%S 6702,23594,301738,14576792,53653610,2738173594,38254296398,

%T 143514673148,2032676550562,109797468019174,6007838407290514,

%U 22863415355711030,1267938526864061370,18523200405015238420,70884650213591098558,3989789924439684599434

%N (Round(c^prime(n)) - 1)/prime(n), where c is the hexanacci constant (A118427).

%C For n>=7, round(c^prime(n)) == 1 (mod 2*prime(n)). Proof in Shevelev link. In particular, all terms are even.

%H S. Litsyn and V. Shevelev, <a href="http://dx.doi.org/10.1142/S1793042105000339">Irrational Factors Satisfying the Little Fermat Theorem</a>, International Journal of Number Theory, vol.1, no.4 (2005), 499-512.

%H V. Shevelev, <a href="http://list.seqfan.eu/oldermail/seqfan/2014-March/012750.html">A property of n-bonacci constant</a>, Seqfan (Mar 23 2014)

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/HexanacciConstant.html">Hexanacci Constant</a>

%Y Cf. A007619, A007663, A238693, A238697, A238698, A238700, A118427, A239502, A239544, A239564.

%K nonn

%O 7,1

%A _Vladimir Shevelev_ and _Peter J. C. Moses_, Mar 21 2014

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 18 22:18 EDT 2024. Contains 371782 sequences. (Running on oeis4.)