A344344 - OEIS

A344344

Starts of runs of 4 consecutive Gray-code Niven numbers (A344341).

1, 6, 30, 126, 510, 543, 783, 903, 2046, 2093, 3773, 3903, 7133, 7743, 8190, 8223, 8703, 10087, 12303, 12543, 14343, 14463, 15423, 15903, 16143, 16263, 20167, 22687, 27727, 30247, 30653, 30783, 32766, 35629, 40327, 47509, 47887, 49133, 50407, 57533, 60071, 60487

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OFFSET

1,2

COMMENTS

Are there 5 consecutive Gray-code Niven numbers? There are no such numbers below 10^10.

LINKS

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

EXAMPLE

1 is a term since 1, 2, 3 and 4 are all Gray-code Niven numbers.

MATHEMATICA

gcNivenQ[n_] := Divisible[n, DigitCount[BitXor[n, Floor[n/2]], 2, 1]]; Select[Range[60000], AllTrue[# + {0, 1, 2, 3}, gcNivenQ] &]

CROSSREFS

Cf. A005811, A014550.

Subsequence of A344341, A344342 and A344343.

Similar sequences: A141769 (decimal), A328207 (factorial), A328211 (Zeckendorf), A328215 (lazy Fibonacci), A330933 (binary), A334311 (base phi), A331824 (negabinary), A342429 (base 3/2).

Sequence in context: A248328 A366058 A356835 * A394987 A002446 A002934

Adjacent sequences: A344341 A344342 A344343 * A344345 A344346 A344347

KEYWORD

nonn,base

AUTHOR

Amiram Eldar, May 15 2021

STATUS

approved