A355296 Maximum number of 1-bits in the Zeckendorf representation of the n-th power of an even-indexed Lucas number.

2, 3, 6, 8, 8, 13, 18, 24, 28, 34, 48, 53, 51, 59, 66, 72, 93, 94, 107, 138, 150, 148, 154, 173, 203, 196, 218, 228, 246, 268, 284, 282, 322, 339, 344, 381, 388, 397, 447, 455, 489, 502, 514, 553, 580, 608, 611, 667, 695, 714

Offset

1,1

Links

Table of n, a(n) for n=1..50.

Example

For n = 4 we have a(4) = 8 because L(2i)^4 = F(2) + F(5) + F(4i-5) + F(4i-2) + F(4i+1) + F(4i+4) + F(8i-1) + F(8i+1) for i >= 2.

Crossrefs

Cf. A000032, A000045.

Sequence in context: A249549 A193905 A127293 * A138343 A321883 A139371

Adjacent sequences: A355293 A355294 A355295 * A355297 A355298 A355299

Keyword

nonn

Author

Jeffrey Shallit, Jun 27 2022

Status

approved