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A338717 a(n) = sum of 4th powers of entries in row n of Stern's triangle A337277.

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%I A338717 #10 Apr 07 2022 11:16:38
%S A338717 1,3,37,395,4277,46251,500213,5409835,58507765,632765739,6843407605,
%T A338717 74011952171,800444658677,8656867341099,93624651434741,
%U A338717 1012557431099947,10950882439229941,118434591969329451,1280878746784164085,13852797030687146027,149819009843990278133
%N A338717 a(n) = sum of 4th powers of entries in row n of Stern's triangle A337277.
%H A338717 Richard P. Stanley, <a href="https://arxiv.org/abs/1901.04647">Some Linear Recurrences Motivated by Stern's Diatomic Array</a>, arXiv:1901.04647 [math.CO], 2019. Also American Mathematical Monthly 127.2 (2020): 99-111.
%H A338717 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (10,9,-2).
%F A338717 G.f.: -(2*x^2+7*x-1)/((x+1)*(2*x^2-11*x+1)). - _Alois P. Heinz_, Nov 19 2020
%t A338717 LinearRecurrence[{10,9,-2},{1,3,37},30] (* _Harvey P. Dale_, Apr 07 2022 *)
%Y A338717 Cf. A337277.
%Y A338717 For 2nd and 3rd powers see A052984, A169634.
%K A338717 nonn,easy
%O A338717 0,2
%A A338717 _N. J. A. Sloane_, Nov 19 2020