A342428 - OEIS

A342428

Starts of runs of 3 consecutive Niven numbers in base 3/2 (A342426).

2196, 7656, 15624, 16335, 64375, 109224, 171624, 202824, 328887, 329427, 392733, 393640, 447578, 482238, 494450, 520695, 631824, 723519, 773790, 785695, 820960, 876987, 981783, 986607, 1021824, 1026750, 1030455, 1084048, 1108094, 1160670, 1235070, 1242824, 1412908

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OFFSET

1,1

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000

EXAMPLE

2196 is a term since 2196, 2197 and 2198 are all Niven numbers in base 3/2.

MATHEMATICA

s[0] = 0; s[n_] := s[n] = s[2*Floor[n/3]] + Mod[n, 3]; q[n_] := Divisible[n, s[n]]; Select[Range[10^6], AllTrue[# + {0, 1, 2}, q] &]

CROSSREFS

Subsequence of A342426 and A342427.

Subsequences: A342429.

Similar sequences: A154701 (decimal), A328206 (factorial), A328210 (Zeckendorf), A328214 (lazy Fibonacci), A330932 (binary), A331087 (negaFibonacci), A333428 (primorial), A334310 (base phi), A331822 (negabinary).

Sequence in context: A227488 A225719 A352344 * A229319 A109408 A292714

Adjacent sequences: A342425 A342426 A342427 * A342429 A342430 A342431

KEYWORD

nonn,base

AUTHOR

Amiram Eldar, Mar 11 2021

STATUS

approved