A357444 Numerators of certain densities associated with partitions into squares.

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

Offset

1,3

Comments

See Gajdzica (2021, 2022) for precise definition.

Links

Table of n, a(n) for n=1..10.

Krystian Gajdzica, A note on the restricted partition function p_A(n, k), arXiv:2104.04341 [math.NT], April 2021; Discrete Math., 345 (2022), #112943. See Table 1.

Example

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

Crossrefs

Cf. A357445.

Sequence in context: A243038 A297303 A225131 * A118361 A264908 A281004

Adjacent sequences: A357441 A357442 A357443 * A357445 A357446 A357447

Keyword

nonn,frac,more

Author

N. J. A. Sloane, Nov 07 2022

Extensions

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

Status

approved