OFFSET
1,2
COMMENTS
Created in a failed attempt to explain sequences J and K on page 10 of Fu and Han (2016). See A279194 and A279195. - N. J. A. Sloane, Dec 15 2016
Numbers n such that the least-significant non-0 digit of n+1 in base 11 is one of {1,3,4,5,9}. - R. J. Mathar, Dec 15 2016
It appears that the correct J and K have form more closely resembling the J and K of F_3(n): n is in J if either k is odd and j is in {2,6,7,8,10} or k is even and j is in {1,3,4,5,9}, and n is in K if either k is even and j is in {2,6,7,8,10} or k is odd and j is in {1,3,4,5,9}. - Charlie Neder, Mar 10 2019
LINKS
Hao Fu, G.-N. Han, Computer assisted proof for Apwenian sequences related to Hankel determinants, arXiv preprint arXiv:1601.04370 [math.NT], 2016.
MAPLE
isA279000 := proc(n)
local x, dgs11, i ;
x := n+1 ;
dgs11 := convert(x, base, 11) ;
for i from 1 to nops(dgs11) do
if op(i, dgs11) in {1, 3, 4, 5, 9} then
return true;
elif op(i, dgs11) in {2, 6, 7, 8, 10} then
return false;
end if;
end do:
false ;
end proc:
for n from 0 to 200 do
if isA279000(n) then
printf("%d, ", n) ;
end if;
end do: # R. J. Mathar, Dec 15 2016
MATHEMATICA
okQ[n_] := MatchQ[IntegerDigits[n+1, 11], {___, 1 | 3 | 4 | 5 | 9, 0...}]; Select[Range[0, 200], okQ] (* Jean-François Alcover, Feb 25 2018, after R. J. Mathar *)
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Dec 07 2016
EXTENSIONS
Corrected by Lars Blomberg (10 added, 21 removed, 32 added...), Dec 15 2016
STATUS
approved