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A334311
Starts of runs of 4 consecutive base phi Niven numbers (A334308).
11
285129, 1958893, 2501533, 6488440, 7069840, 8803023, 16514327, 23826399, 34031773, 52256248, 68198847, 72969138, 76779087, 77622950, 87430210, 87474672, 96485487, 114137958, 120197293, 136275022, 151444458, 173740578, 174878352, 183872325, 188385855, 196268415
OFFSET
1,1
LINKS
EXAMPLE
285129 is a term since 285129, 285130, 285131 and 285132 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]; q3 = phiNivenQ[3]; seq = {}; Do[q4 = phiNivenQ[n]; If[q1 && q2 && q3 && q4, AppendTo[seq, n - 3]]; q1 = q2; q2 = q3; q3 = q4, {n, 4, 10^5}]; seq
KEYWORD
nonn,base
AUTHOR
Amiram Eldar, Apr 22 2020
STATUS
approved