A344344 - OEIS

%I #7 May 16 2021 02:41:12

%S 1,6,30,126,510,543,783,903,2046,2093,3773,3903,7133,7743,8190,8223,

%T 8703,10087,12303,12543,14343,14463,15423,15903,16143,16263,20167,

%U 22687,27727,30247,30653,30783,32766,35629,40327,47509,47887,49133,50407,57533,60071,60487

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

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

%H Amiram Eldar, <a href="/A344344/b344344.txt">Table of n, a(n) for n = 1..10000</a>

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

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

%Y Cf. A005811, A014550.

%Y Subsequence of A344341, A344342 and A344343.

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

%K nonn,base

%O 1,2

%A _Amiram Eldar_, May 15 2021