A279195 Numbers of the form {(11*h+p)*11^(2k+1)-1 | h,k in N and p in {1,3,4,5,9} } U {(11*h+q)*11^2k-1 | h,k in N and q in {2,6,7,8,10} }.

1, 5, 6, 7, 9, 10, 12, 16, 17, 18, 20, 23, 27, 28, 29, 31, 32, 34, 38, 39, 40, 42, 43, 45, 49, 50, 51, 53, 54, 56, 60, 61, 62, 64, 67, 71, 72, 73, 75, 78, 82, 83, 84, 86, 89, 93, 94, 95, 97, 98, 100, 104, 105, 106, 108, 111, 115, 116, 117, 119, 122, 126, 127, 128, 130, 131

Offset

1,2

Comments

The sequence K 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 "K" in Section 2.3.

Guo-Niu Han, The program Apwen.py

Mathematica

isok[n_]:=Module[{ord=IntegerExponent[n+1, 11], pq={{2, 6, 7, 8, 10}, {1, 3, 4, 5, 9}}}, 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, A279194.

Sequence in context: A178096 A246782 A089192 * A232710 A132829 A180061

Adjacent sequences: A279192 A279193 A279194 * A279196 A279197 A279198

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