A106576 Period 20. Sequence gives last digit of A106157, starting from the first positive term.

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

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1).

Formula

G.f.: A/B with A = (1 +2*x +3*x^4 +4*x^13 +5*x^8 +6*x^5 +7*x^12 +8*x^17 +9*x^16) and B = (1-x)*(1+x)*(1 -x +x^2 -x^3 +x^4)*(1 +x +x^2 +x^3 +x^4)*(1 -x^2 +x^4 -x^6 +x^8).

Mathematica

PadRight[{}, 120, {1, 2, 1, 2, 3, 6, 3, 6, 5, 0, 5, 0, 7, 4, 7, 4, 9, 8, 9, 8}] (* Harvey P. Dale, Apr 21 2019 *)

Crossrefs

Sequence in context: A156693 A156564 A198123 * A301336 A128474 A108618

Adjacent sequences: A106573 A106574 A106575 * A106577 A106578 A106579

Keyword

easy,nonn,base

Author

Creighton Dement, May 09 2005

Status

approved