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Numerators of certain densities associated with partitions into squares.
1

%I #9 Nov 08 2022 05:46:32

%S 1,1,13,37,1,299,253,14113,317311,264659

%N Numerators of certain densities associated with partitions into squares.

%C See Gajdzica (2021, 2022) for precise definition.

%H Krystian Gajdzica, <a href="https://arxiv.org/abs/2104.04341">A note on the restricted partition function p_A(n, k)</a>, arXiv:2104.04341 [math.NT], April 2021; Discrete Math., 345 (2022), #112943. See Table 1.

%e 1, 1/2, 13/36, 37/144, 1/2, 299/600, 253/504, 14113/28224, 317311/635040, 264659/529200, ...

%Y Cf. A357445.

%K nonn,frac,more

%O 1,3

%A _N. J. A. Sloane_, Nov 07 2022

%E Tables 2 and 3 of the reference contain several similar sequences of rationals that could be added to the OEIS.