A284124 Remainder when 4*n is divided by A005185(n).

0, 0, 0, 1, 2, 0, 3, 2, 0, 4, 2, 0, 4, 0, 0, 1, 8, 6, 10, 8, 0, 4, 8, 0, 2, 6, 12, 0, 4, 8, 4, 9, 13, 16, 14, 11, 8, 20, 9, 6, 3, 7, 4, 8, 12, 16, 20, 0, 4, 0, 24, 12, 4, 6, 10, 0, 4, 22, 12, 16, 20, 24, 12, 25, 12, 36, 23, 8, 3, 0, 25, 22, 12, 23, 20, 31, 14, 32, 29, 19, 16

Offset

1,5

Links

Altug Alkan, Table of n, a(n) for n = 1..10000

Altug Alkan, Alternative Scatterplot of A284124

Formula

a(n) = A008586(n) mod A005185(n) for n > 0.

Example

a(5) = 2 because remainder when 4*5 = 20 is divided by A005185(5) = 3 is 2.

Mathematica

a[1] = a[2] = 1; a[n_] := a[n] = a[n - a[n - 1]] + a[n - a[n - 2]]; Table[Mod[4 n, a@ n], {n, 81}] (* Michael De Vlieger, Mar 20 2017 *)

Prog

(PARI) a=vector(1000); a[1]=a[2]=1; for(n=3, #a, a[n]=a[n-a[n-1]]+a[n-a[n-2]]); vector(1000, n, (4*n)%a[n])

Crossrefs

Cf. A005185, A008586.

Sequence in context: A103489 A213944 A127479 * A187637 A338737 A141432

Adjacent sequences: A284121 A284122 A284123 * A284125 A284126 A284127

Keyword

nonn,look

Author

Altug Alkan, Mar 20 2017

Status

approved