A163242 Row sums of A163233 and A163235.

0, 3, 18, 30, 90, 153, 204, 252, 492, 735, 990, 1242, 1446, 1653, 1848, 2040, 3000, 3963, 4938, 5910, 6930, 7953, 8964, 9972, 10788, 11607, 12438, 13266, 14046, 14829, 15600, 16368, 20208, 24051, 27906, 31758, 35658, 39561, 43452, 47340

Offset

0,2

Comments

It is easily seen that these terms are always divisible by 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.

Mathematica

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, 39}, {j, i, 0, -1}]] (* Michael De Vlieger, Nov 01 2022 *)

Crossrefs

a(n) = 3*A163478(n).

Sequence in context: A169598 A202359 A118474 * A190308 A161443 A003337

Adjacent sequences: A163239 A163240 A163241 * A163243 A163244 A163245

Keyword

nonn

Author

Antti Karttunen, Jul 29 2009

Status

approved