How Do Quantum Statistics Affect Energy Level Degeneracies in a SHO?

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Lets say we have two spin 0 particles that don't interact more than being indistingishable..
what are the degenercies for the energylevels?
I would say:

PHP:
(n1, n2)                                  D
---------------------------------------

(0,0)                                     1
((1,0)+(0,1))                             1

((2,0)+(0,2)); (1,1)                      2 
((1,2) + (2,1));((3,0)+(0,3))             2
with the pattern begin 1,1,2,2,3,3,4,4...
If we insted study 2 fermions of same type and same m-eigenvalue. I then got 0, 1, 1, 2, 2, 3 ,3...
Do you agree with my results?
 
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Looks fine to me.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!

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