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 A328213 Numbers m such that m and m+1 are consecutive lazy-Fibonacci-Niven numbers (A328212). 11
 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 (list; graph; refs; listen; history; text; internal format)
 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 Cf. A112310, A328212. Sequence in context: A208728 A219689 A074891 * A271733 A280883 A306325 Adjacent sequences:  A328210 A328211 A328212 * A328214 A328215 A328216 KEYWORD nonn AUTHOR Amiram Eldar, Oct 07 2019 STATUS approved

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Last modified August 5 17:08 EDT 2021. Contains 346488 sequences. (Running on oeis4.)