A279194 Numbers of the form {(11*h+p)*11^2k-1 | h,k in N and p in {1,3,4,5,9} } U {(11*h+q)*11^(2k+1)-1 | h,k in N and q in {2,6,7,8,10} }.

0, 2, 3, 4, 8, 11, 13, 14, 15, 19, 21, 22, 24, 25, 26, 30, 33, 35, 36, 37, 41, 44, 46, 47, 48, 52, 55, 57, 58, 59, 63, 65, 66, 68, 69, 70, 74, 76, 77, 79, 80, 81, 85, 87, 88, 90, 91, 92, 96, 99, 101, 102, 103, 107, 109, 110, 112, 113, 114, 118, 120, 121, 123, 124, 125, 129

Offset

1,2

Comments

The sequence J related to the Apwenian power series F_{11}(x).

Links

Ray Chandler, Table of n, a(n) for n = 1..10000

Hao Fu, G.-N. Han, Computer assisted proof for Apwenian sequences related to Hankel determinants, arXiv preprint arXiv:1601.04370 [math.NT], 2016. See sequence "J" in Section 2.3.

Guo-Niu Han, The program Apwen.py

Mathematica

isok[n_]:=Module[{ord=IntegerExponent[n+1, 11], pq={{1, 3, 4, 5, 9}, {2, 6, 7, 8, 10}}}, MemberQ[pq[[Mod[ord, 2]+1]], Mod[(n+1)/11^ord, 11]]]; Select[Range[0, 131], isok] (* Ray Chandler, Dec 17 2016 *)

Crossrefs

Cf. A279000, A279001, A279195.

Sequence in context: A127279 A106131 A275646 * A050727 A295323 A102951

Adjacent sequences: A279191 A279192 A279193 * A279195 A279196 A279197

Keyword

nonn

Author

N. J. A. Sloane, Dec 15 2016

Extensions

Definition (from p. 5, Definition 2.1 of the arXiv reference) provided by Arie Groeneveld, Dec 16 2016

More terms from Ray Chandler, Dec 17 2016

Status

approved