A328214 Starts of runs of 3 consecutive lazy-Fibonacci-Niven numbers (A328212).

27312, 37504, 48060, 83248, 198254, 269856, 319694, 386136, 423520, 434300, 518175, 525672, 539800, 572184, 690858, 701118, 793799, 886534, 998866, 1015035, 1258444, 1396582, 1409058, 1511600, 1557422, 1680378, 1729398, 1753818, 2044768, 2136263, 2310624, 2396438, 2421024

Offset

1,1

Links

Amiram Eldar, Table of n, a(n) for n = 1..79

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

Example

27312 is in the sequence since 27312, 27313 and 27314 are in A328212: A112310(27312) = 16 is a divisor of 27312, A112310(27312) = 13 is a divisor of 27313, and A112310(27314) = 14 is a divisor of 27314.

Mathematica

ooQ[n_] := Module[{k = n}, While[k > 3, If[Divisible[k, 4], Return[True], k = Quotient[k, 2]]]; False]; c = 0; cn = 0; k = 1; s = {}; v = Table[-1, {3}]; While[cn < 33, If[! ooQ[k], c++; d = Total@IntegerDigits[k, 2]; If[Divisible[c, d], v = Join[Rest[v], {c}]; If[AllTrue[Differences[v], # == 1 &], cn++; AppendTo[s, c - 2]]]]; k++]; s

Crossrefs

Cf. A112310, A154701, A328212.

Sequence in context: A267706 A237381 A109481 * A234686 A064967 A168215

Adjacent sequences: A328211 A328212 A328213 * A328215 A328216 A328217

Keyword

nonn

Author

Amiram Eldar, Oct 07 2019

Status

approved