The OEIS is supported by the many generous donors to the OEIS Foundation.
Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
%I #11 Feb 02 2018 02:34:46
%S 36,37,55,70,79,84,93,99,105,111,118,128,134,138,140,149,156,161,163,
%T 168,174,180,185,199,208,230,240,245,247,254,255,257,260,278,282,283,
%U 289,299,300,301,331,363,365,376,377,384,385,387,397,400
%N Numbers n not of the form 7k+4 such that A000041(49n+47) == 0 (mod 343).
%H Watson, G. N., <a href="http://resolver.sub.uni-goettingen.de/purl?GDZPPN002174499">Ramanujans Vermutung ueber Zerfaellungsanzahlen</a>. J. Reine Angew. Math. (Crelle), 179 (1938), 97-128. See p. 128.
%o (PARI) for(n=1,10^3, if(n%7==4,next); if( numbpart(49*n+47)%343==0, print1(n,", ")) ) \\ _Max Alekseyev_, Feb 13 2012
%K nonn
%O 1,1
%A _N. J. A. Sloane_, Nov 14 2009
%E Watson found the terms 36, 37, 55 via A002300.
%E Extended to a(24)=199 using Watson's method (but with Maple's help) by _N. J. A. Sloane_, Nov 14 2009
%E Terms a(25) onward from _Max Alekseyev_, Feb 13 2012