A098491 - OEIS

%I #12 Sep 19 2019 07:57:54

%S 1,0,1,1,2,3,5,6,8,11,15,19,25,32,41,52,66,83,104,129,160,197,242,296,

%T 361,438,530,640,770,923,1105,1318,1569,1864,2208,2611,3082,3628,4264,

%U 5003,5858,6848,7993,9312,10833,12584,14595,16904,19552,22582,26049

%N Number of partitions of n with parts occurring at most thrice and an even number of parts. Row sums of A098489.

%H Alex Fink, Richard K. Guy, and Mark Krusemeyer, <a href="https://doi.org/10.11575/cdm.v3i2.61940">Partitions with parts occurring at most thrice</a>, Contributions to Discrete Mathematics, Vol 3, No 2 (2008), pp. 76-114.

%F a(n) = (A001935(n)+(-1)^n*A010054(n))/2. - _Vladeta Jovovic_, Sep 16 2004

%Y Equals A001935 - A098492. Differs from A098492 at triangular indices.

%K nonn

%O 0,5

%A _Ralf Stephan_, Sep 12 2004

%E More terms from _Vladeta Jovovic_, Sep 16 2004