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A279000 Numbers of the form (11*h+j)*11^k-1 for h,k in N and j in {1,3,4,5,9}. 4
0, 2, 3, 4, 8, 10, 11, 13, 14, 15, 19, 22, 24, 25, 26, 30, 32, 33, 35, 36, 37, 41, 43, 44, 46, 47, 48, 52, 54, 55, 57, 58, 59, 63, 66, 68, 69, 70, 74, 77, 79, 80, 81, 85, 88, 90, 91, 92, 96, 98, 99, 101, 102, 103, 107, 110, 112, 113, 114, 118, 120, 121, 123, 124, 125, 129 (list; graph; refs; listen; history; text; internal format)
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

Table of n, a(n) for n=1..66.

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-Fran├žois Alcover, Feb 25 2018, after R. J. Mathar *)

CROSSREFS

Complement of A279001.

Cf. A279194, A279195.

Sequence in context: A030478 A118252 A047456 * A073465 A174816 A161494

Adjacent sequences:  A278997 A278998 A278999 * A279001 A279002 A279003

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Dec 07 2016

EXTENSIONS

Corrected by Lars Blomberg (10 added, 21 removed, 32 added...), 15 Dec 2016

STATUS

approved

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Last modified October 14 09:57 EDT 2019. Contains 327995 sequences. (Running on oeis4.)