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A355296
Maximum number of 1-bits in the Zeckendorf representation of the n-th power of an even-indexed Lucas number.
0
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
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
Sequence in context: A249549 A193905 A127293 * A138343 A321883 A139371
KEYWORD
nonn
AUTHOR
Jeffrey Shallit, Jun 27 2022
STATUS
approved