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Jun 24, 2021 at 20:32 history edited T. Amdeberhan CC BY-SA 4.0
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Jun 24, 2021 at 20:07 history edited T. Amdeberhan CC BY-SA 4.0
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Jun 23, 2021 at 22:15 history edited T. Amdeberhan CC BY-SA 4.0
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Jun 22, 2021 at 23:05 comment added Max Alekseyev I copied g.f. from the OEIS, but I'm pretty sure it can be easily obtained by Lagrange inversion.
Jun 22, 2021 at 23:02 comment added T. Amdeberhan I liked two things (pedagogically speaking): (1) I noticed what I did not expect, that is, $4t_n=h(n-1)+h(n)$; (2) I noticed the presence of the quantities $3^m$ vanishing mostly. Of course, no doubt about your approach is neater. By the way, how do you prove the generating function works for $t_n$? I saw it appeared on OEIS.
Jun 22, 2021 at 22:48 comment added Max Alekseyev What is benefit of this explicit expansion?
Jun 22, 2021 at 22:43 history answered T. Amdeberhan CC BY-SA 4.0