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!)
A091529 When sum {k=1 to n} H(k) k! (n-k)! (mod {n+1}) (A091528) is not zero. 2

%I #17 Feb 20 2015 16:24:51

%S 1,2,4,5,6,8,9,10,12,13,16,18,21,22,25,28,30,33,36,37,40,42,45,46,52,

%T 57,58,60,61,66,70,72,73,78,81,82,85,88,93,96,100,102,105,106,108,112,

%U 117,121,126,130,133,136,138,141,145,148,150,156,157,162,165,166,172,177

%N When sum {k=1 to n} H(k) k! (n-k)! (mod {n+1}) (A091528) is not zero.

%C It is conjectured that the density decreases. In each century the number of members are so far: 41, 30, 26, 28, 23, 24, 24, 21, 24, 22, ...

%t Select[ Range[178], Mod[ Sum[ HarmonicNumber[k] k! (# - k)!, {k, 1, #}], # + 1] != 0 &] (* _Robert G. Wilson v_, Jan 14 2004; corrected by _Jean-François Alcover_, May 22 2014 *)

%Y Cf. A091528.

%K nonn

%O 1,2

%A _Leroy Quet_, Jan 08 2004

%E Extended by _Robert G. Wilson v_, Jan 14 2004

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 23 14:15 EDT 2024. Contains 371914 sequences. (Running on oeis4.)