A163365 Row sums of A163357 and A163359.

0, 4, 20, 40, 100, 172, 248, 336, 568, 820, 1100, 1400, 1692, 2012, 2352, 2720, 3632, 4580, 5572, 6600, 7700, 8844, 10024, 11248, 12392, 13588, 14844, 16152, 17484, 18876, 20320, 21824, 25440, 29124, 32884, 36712, 40644, 44652, 48728, 52880

Offset: 0

Author

Antti Karttunen, Jul 29 2009

Keywords

• nonn

Comments

All terms seem to be divisible by 4. Cf. A163477.

Links

• Hsien-Kuei Hwang, Svante Janson, and Tsung-Hsi Tsai, Identities and periodic oscillations of divide-and-conquer recurrences splitting at half, arXiv:2210.10968 [cs.DS], 2022, pp. 42-43.

Crossrefs

Cf. A163357, A163359.

Programs

Mathematica

nn = 7; s[{n_, k_}, {m_}] := (a[k, n] = m - 1); MapIndexed[s, List @@ HilbertCurve[nn][[1]]]; 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 *)