A163478 Row sums of A163233 and A163235 divided by 3.

0, 1, 6, 10, 30, 51, 68, 84, 164, 245, 330, 414, 482, 551, 616, 680, 1000, 1321, 1646, 1970, 2310, 2651, 2988, 3324, 3596, 3869, 4146, 4422, 4682, 4943, 5200, 5456, 6736, 8017, 9302, 10586, 11886, 13187, 14484, 15780, 17140, 18501, 19866, 21230

Offset

0,3

Links

Michael De Vlieger, Table of n, a(n) for n = 0..1000

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.

Formula

a(n) = A163242(n)/3.

Mathematica

1/3*Map[Total, Table[Function[k, FromDigits[#, 2] &@ Apply[Function[{a, b}, Riffle @@ Map[PadLeft[#, Max[Length /@ {a, b}]] &, {a, b}]], Map[IntegerDigits[#, 2] &@ BitXor[#, Floor[#/2]] &, {k, j}]]][i - j], {i, 0, 43}, {j, i, 0, -1}]] (* Michael De Vlieger, Nov 01 2022 *)

Crossrefs

Cf. A163233, A163235, A163242.

Sequence in context: A218553 A265857 A256865 * A130440 A178676 A266957

Adjacent sequences: A163475 A163476 A163477 * A163479 A163480 A163481

Keyword

nonn

Author

Antti Karttunen, Jul 29 2009

Status

approved