A107409 Each term is sum of three previous terms mod 10.

0, 1, 2, 3, 6, 1, 0, 7, 8, 5, 0, 3, 8, 1, 2, 1, 4, 7, 2, 3, 2, 7, 2, 1, 0, 3, 4, 7, 4, 5, 6, 5, 6, 7, 8, 1, 6, 5, 2, 3, 0, 5, 8, 3, 6, 7, 6, 9, 2, 7, 8, 7, 2, 7, 6, 5, 8, 9, 2, 9, 0, 1, 0, 1, 2, 3, 6, 1, 0, 7, 8, 5, 0, 3, 8, 1, 2, 1, 4, 7, 2, 3, 2, 7, 2, 1, 0, 3, 4, 7, 4, 5, 6, 5, 6, 7, 8, 1, 6, 5, 2, 3, 0, 5, 8

Offset

0,3

Comments

The sequence has period: {0,1,2,3,6,1,0,7,8,5,0,3,8,1,2,1,4,7,2,3,2,7,2,1,0,3,4,7,4,5,6,5,6,7,8,1,6,5,2,3,0,5,8,3,6,7,6,9,2,7,8,7,2,7,6,5,8,9,2,9,0,1} of length = 62.

Links

Table of n, a(n) for n=0..104.

Formula

a(n)=mod(a(n-1)+a(n-2)+a(n-3), 10); a(1)=0, a(2)=1;a(3)=2.

Mathematica

s={a=0, b=1, c=2}; Do[d=Mod[a+b+c, 10]; s=Append[s, d]; a=b; b=c; c=d, {m, 200}]; s

Crossrefs

Sequence in context: A232930 A217100 A241293 * A268603 A226871 A178483

Adjacent sequences: A107406 A107407 A107408 * A107410 A107411 A107412

Keyword

nonn

Author

Zak Seidov, May 25 2005

Status

approved