

A328212


LazyFibonacciNiven numbers: numbers divisible by the number of terms in their lazy Fibonacci representation (A112310).


14



1, 2, 4, 6, 9, 12, 15, 16, 28, 30, 35, 36, 48, 55, 60, 70, 72, 75, 78, 84, 90, 102, 105, 114, 119, 126, 133, 144, 147, 154, 156, 161, 168, 180, 182, 184, 192, 198, 203, 208, 216, 224, 238, 240, 245, 252, 259, 264, 266, 272, 280, 296, 301, 304, 308, 315, 320, 322
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OFFSET

1,2


LINKS

Table of n, a(n) for n=1..58.
Helen G. Grundman, Consecutive ZeckendorfNiven and lazyFibonacciNiven numbers, Fibonacci Quarterly, Vol. 45, No. 3 (2007), pp. 272276.


EXAMPLE

6 is in the sequence since A112310(6) = 3 and 3 is a divisor of 6.


MATHEMATICA

ooQ[n_] := Module[{k = n}, While[k > 3, If[Divisible[k, 4], Return[True], k = Quotient[k, 2]]]; False]; c = 0; s = {}; Do[If[! ooQ[k], c++; d = Total @ IntegerDigits[k, 2]; If[Divisible[c, d], AppendTo[s, c]]], {k, 1, 2000}]; s


CROSSREFS

Cf. A004753, A005349, A112310.
Sequence in context: A278450 A030763 A143145 * A256393 A130664 A014011
Adjacent sequences: A328209 A328210 A328211 * A328213 A328214 A328215


KEYWORD

nonn


AUTHOR

Amiram Eldar, Oct 07 2019


STATUS

approved



