A100932 - OEIS

%I #10 Jan 05 2021 05:03:42

%S 1,2,3,5,4,10,6,17,14,26,13,66,19,63,60,126,39,243,55,338,179,310,105,

%T 1154,209,637,482,1458,257,3329,341,2878,1200,2386,1178,11262,761,

%U 4400,2834,14512,1261,23052,1611,18255,10551,13858,2591,83810,4678,38243

%N Number of partitions of n such that multiplicities of parts are divisors of n.

%H Martin Klazar, <a href="http://arxiv.org/abs/1808.08449">What is an answer? — remarks, results and problems on PIO formulas in combinatorial enumeration, part I</a>, arXiv:1808.08449 [math.CO], 2018.

%F Coefficient of x^n in expansion of Product_{k=1..n} (1+Sum_{d|n} x^(d*k)).

%p with(numtheory): seq(coeff(mul(1+add(x^(d*k),d=divisors(n)),k=1..n),x,n),n=1..60); # C. Ronaldo (aga_new_ac(AT)hotmail.com), Jan 19 2005

%Y Cf. A018818.

%K easy,nonn

%O 1,2

%A _Vladeta Jovovic_, Jan 11 2005

%E More terms from C. Ronaldo (aga_new_ac(AT)hotmail.com), Jan 19 2005