A284882 Positions of -1 in A284881.

2, 5, 8, 11, 15, 18, 20, 23, 26, 29, 33, 36, 38, 41, 45, 48, 50, 53, 56, 59, 62, 65, 69, 72, 74, 77, 80, 83, 87, 90, 92, 95, 99, 102, 104, 107, 110, 113, 116, 119, 123, 126, 128, 131, 135, 138, 140, 143, 146, 149, 152, 155, 159, 162, 164, 167, 170, 173, 177

Offset

1,1

Comments

This sequence and A284883 and A284884 form a partition of the positive integers. For n>=1, we have 3n-a(n) in {0,1}, 3*n+1-A284883(n) in {0,1,2,3}, and 3*n-1-A284884(n) in {0,1,2}.

A284881 = (1,-1,1,0,-1,0,1,-1,1,0,-1,0,1,0,...); thus

A284882 = (2,5,8,11,15,18,...)

A284883 = (4,6,10,12,14,16,...)

A284884 = (1,3,7,9,13,17,...).

Links

Clark Kimberling, Table of n, a(n) for n = 1..10000

Mathematica

s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {0, 1, 1, 0}}] &, {0}, 6] (* A284878 *)
d = Differences[s]  (* A284881 *)
Flatten[Position[d, -1]] (* A284882 *)
d2 = Flatten[Position[d, 0]]  (* A284883 *)
Flatten[Position[d, 1]]  (* A284884 *)
d2/2  (* A284885 *)

Crossrefs

Cf. A284793, A284881, A284883, A284884.

Sequence in context: A184872 A163249 A295624 * A190364 A088366 A257984

Adjacent sequences: A284879 A284880 A284881 * A284883 A284884 A284885

Keyword

nonn,easy

Author

Clark Kimberling, Apr 16 2017

Status

approved