A328212 Lazy-Fibonacci-Niven numbers: numbers divisible by the number of terms in their lazy Fibonacci representation (A112310).

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

Offset

1,2

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Helen G. Grundman, Consecutive Zeckendorf-Niven and lazy-Fibonacci-Niven numbers, Fibonacci Quarterly, Vol. 45, No. 3 (2007), pp. 272-276.

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 * A352191 A256393 A130664

Adjacent sequences: A328209 A328210 A328211 * A328213 A328214 A328215

Keyword

nonn

Author

Amiram Eldar, Oct 07 2019

Status

approved