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A328215 Starts of runs of 4 consecutive lazy-Fibonacci-Niven numbers (A328212). 5
3674769, 17434975, 22711023, 26152125, 32784723, 41221725, 57846123, 93416568, 101681916, 122873490, 173504940, 225947148, 234209247, 259557450, 333681684, 377858544, 396241410, 413770056, 432640989, 443496447, 444571650, 484381323, 497625360, 556123167, 564869940 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Grundman found a(1) and proved that there are no runs of 5 consecutive lazy-Fibonacci-Niven numbers.

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..72

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

EXAMPLE

3674769 is in the sequence since 3674769, 3674770, 3674771 and 3674772 are in A328212: A112310(3674769) = 21 is a divisor of 3674769, A112310(3674770) = 22 is a divisor of 3674770, A112310(3674771) = 17 is a divisor of 3674771, and A112310(3674772) = 18 is a divisor of 3674772.

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, {4}]; While[cn < 10, 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 - 3]]]]; k++]; s

CROSSREFS

Cf. A112310, A141769, A328212.

Sequence in context: A080662 A080660 A080659 * A216002 A187644 A136287

Adjacent sequences:  A328212 A328213 A328214 * A328216 A328217 A328218

KEYWORD

nonn

AUTHOR

Amiram Eldar, Oct 07 2019

EXTENSIONS

More terms from Amiram Eldar, Oct 23 2019

STATUS

approved

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Last modified February 26 17:19 EST 2020. Contains 332293 sequences. (Running on oeis4.)