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A328213
Numbers m such that m and m+1 are consecutive lazy-Fibonacci-Niven numbers (A328212).
23
1, 15, 35, 369, 549, 710, 890, 1089, 1989, 2196, 2629, 2951, 3311, 3679, 3684, 4927, 5268, 5291, 5488, 5603, 5775, 5819, 5928, 5940, 6524, 7072, 7364, 7403, 7475, 7500, 7657, 7812, 8567, 9254, 9360, 9372, 9383, 9477, 9841, 10205, 10304, 10360, 11816, 13299, 13454
OFFSET
1,2
LINKS
Helen G. Grundman, Consecutive Zeckendorf-Niven and lazy-Fibonacci-Niven numbers, Fibonacci Quarterly, Vol. 45, No. 3 (2007), pp. 272-276.
EXAMPLE
15 is in the sequence since both 15 and 16 are in A328212: A112310(15) = 3 is a divisor of 15, and A112310(16) = 4 is a divisor of 16.
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, {2}]; While[cn < 45, 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 - 1]]]]; k++]; s
CROSSREFS
Sequence in context: A208728 A219689 A074891 * A271733 A280883 A306325
KEYWORD
nonn
AUTHOR
Amiram Eldar, Oct 07 2019
STATUS
approved