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A297827 Difference sequence of A297826. 3
1, 5, 2, 2, 4, 3, 3, 1, 2, 4, 1, 4, 1, 6, 2, 1, 2, 6, 0, 2, 6, 0, 2, 2, 2, 4, 5, 2, 1, 2, 2, 2, 4, 3, 1, 2, 2, 2, 4, 3, 3, 3, 1, 2, 4, 1, 2, 2, 4, 5, 2, 3, 3, 1, 2, 4, 1, 6, 2, 3, 3, 1, 2, 4, 1, 4, 1, 4, 1, 6, 2, 1, 2, 6, 2, 3, 1, 2, 4, 1, 2, 2, 4, 3, 1, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Conjectures:

(1) 0 <= a(k) <= 6 for k>=1;

(2) if d is in {0,1,2,3,4,5,6}, then a(k) = d for infinitely many k; for d = 0, see A297829.

LINKS

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

MATHEMATICA

mex[list_, start_] := (NestWhile[# + 1 &, start, MemberQ[list, #] &]);

tbl = {}; a[0] = 1; a[1] = 2; b[0] = 3; b[1] = 4;

a[n_] := a[n] = a[1]*b[n - 1] - a[0]*b[n - 2] + n;

b[n_] := b[n] = mex[tbl = Join[{a[n], a[n - 1], b[n - 1]}, tbl], b[n - 1]];

u = Table[a[n], {n, 0, 300}](* A297826 *)

v = Table[b[n], {n, 0, 300}](* A297997 *)

Differences[u];  (* A297827 *)

Differences[v];  (* A297828 *)

(* Peter J. C. Moses, Jan 03 2017 *)

CROSSREFS

Cf. A297826, A297828.

Sequence in context: A070962 A090125 A093008 * A198496 A318332 A177925

Adjacent sequences:  A297824 A297825 A297826 * A297828 A297829 A297830

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Feb 04 2018

STATUS

approved

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Last modified February 16 18:53 EST 2019. Contains 320165 sequences. (Running on oeis4.)