This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A344344 #7 May 16 2021 02:41:12
%S A344344 1,6,30,126,510,543,783,903,2046,2093,3773,3903,7133,7743,8190,8223,
%T A344344 8703,10087,12303,12543,14343,14463,15423,15903,16143,16263,20167,
%U A344344 22687,27727,30247,30653,30783,32766,35629,40327,47509,47887,49133,50407,57533,60071,60487
%N A344344 Starts of runs of 4 consecutive Gray-code Niven numbers (A344341).
%C A344344 Are there 5 consecutive Gray-code Niven numbers? There are no such numbers below 10^10.
%H A344344 Amiram Eldar, <a href="/A344344/b344344.txt">Table of n, a(n) for n = 1..10000</a>
%e A344344 1 is a term since 1, 2, 3 and 4 are all Gray-code Niven numbers.
%t A344344 gcNivenQ[n_] := Divisible[n, DigitCount[BitXor[n, Floor[n/2]], 2, 1]]; Select[Range[60000], AllTrue[# + {0, 1, 2, 3}, gcNivenQ] &]
%Y A344344 Cf. A005811, A014550.
%Y A344344 Subsequence of A344341, A344342 and A344343.
%Y A344344 Similar sequences: A141769 (decimal), A328207 (factorial), A328211 (Zeckendorf), A328215 (lazy Fibonacci), A330933 (binary), A334311 (base phi), A331824 (negabinary), A342429 (base 3/2).
%K A344344 nonn,base
%O A344344 1,2
%A A344344 _Amiram Eldar_, May 15 2021