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%I #7 Nov 02 2022 07:46:10
%S 0,1,5,10,25,43,62,84,142,205,275,350,423,503,588,680,908,1145,1393,
%T 1650,1925,2211,2506,2812,3098,3397,3711,4038,4371,4719,5080,5456,
%U 6360,7281,8221,9178,10161,11163,12182,13220,14310,15421,16555,17710
%N Row sums of A163357 and A163359 divided by 4.
%H Hsien-Kuei Hwang, Svante Janson, and Tsung-Hsi Tsai, <a href="https://arxiv.org/abs/2210.10968">Identities and periodic oscillations of divide-and-conquer recurrences splitting at half</a>, arXiv:2210.10968 [cs.DS], 2022, pp. 42-43.
%F a(n) = floor(A163365(n)/4) (floor probably unnecessary).
%t nn = 8; s[{n_, k_}, {m_}] := (a[k, n] = m - 1); MapIndexed[s, List @@ HilbertCurve[nn][[1]]]; Floor[1/4*Map[Total, Table[a[n - k, k], {n, 0, nn^2}, {k, n, 0, -1}]]] (* _Michael De Vlieger_, Nov 01 2022, after _Jean-François Alcover_ at A163357 *)
%Y Cf. A163357, A163359.
%K nonn
%O 0,3
%A _Antti Karttunen_, Jul 29 2009
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