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 A334310 Starts of runs of 3 consecutive base phi Niven numbers (A334308). 3
 17171, 20760, 29183, 32772, 51336, 65840, 66608, 67990, 89054, 95563, 103682, 108910, 133990, 136512, 167598, 173640, 190094, 197218, 205478, 207364, 223873, 241934, 247115, 248443, 252014, 258816, 261135, 278783, 285129, 285130, 289392, 325934, 326520, 335178 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Amiram Eldar, Table of n, a(n) for n = 1..10000 EXAMPLE 17171 is a term since 17171, 17172 and 17173 are all base phi Niven numbers. MATHEMATICA phiDigSum[1] = 1; phiDigSum[n_] := Plus @@ RealDigits[n, GoldenRatio, 2*Ceiling[ Log[GoldenRatio, n] ]][[1]]; phiNivenQ[n_] := Divisible[n, phiDigSum[n]]; q1 = phiNivenQ[1]; q2 = phiNivenQ[2]; seq = {}; Do[q3 = phiNivenQ[n]; If[q1 && q2 && q3, AppendTo[seq, n - 2]]; q1 = q2; q2 = q3, {n, 3, 300000}]; seq CROSSREFS Cf. A154701, A328206, A328210, A328214, A330932, A333428, A334308, A334309. Sequence in context: A251207 A233993 A043621 * A293478 A076774 A236447 Adjacent sequences:  A334307 A334308 A334309 * A334311 A334312 A334313 KEYWORD nonn,base AUTHOR Amiram Eldar, Apr 22 2020 STATUS approved

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Last modified May 10 21:08 EDT 2021. Contains 343780 sequences. (Running on oeis4.)