A160553 Numbers n not of the form 7k+4 such that A000041(49n+47) == 0 (mod 343).

36, 37, 55, 70, 79, 84, 93, 99, 105, 111, 118, 128, 134, 138, 140, 149, 156, 161, 163, 168, 174, 180, 185, 199, 208, 230, 240, 245, 247, 254, 255, 257, 260, 278, 282, 283, 289, 299, 300, 301, 331, 363, 365, 376, 377, 384, 385, 387, 397, 400

Offset: 1

Author

N. J. A. Sloane, Nov 14 2009

Keywords

• nonn

Links

• Watson, G. N., Ramanujans Vermutung ueber Zerfaellungsanzahlen. J. Reine Angew. Math. (Crelle), 179 (1938), 97-128. See p. 128.

Programs

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

Extensions

Watson found the terms 36, 37, 55 via A002300.

Extended to a(24)=199 using Watson's method (but with Maple's help) by N. J. A. Sloane, Nov 14 2009

Terms a(25) onward from Max Alekseyev, Feb 13 2012