A140975 Period length 20: repeat 1, 3, 8, 8, 9, 1, 6, 6, 7, 9, 4, 4, 5, 7, 2, 2, 3, 5, 0, 0.
1, 3, 8, 8, 9, 1, 6, 6, 7, 9, 4, 4, 5, 7, 2, 2, 3, 5, 0, 0, 1, 3, 8, 8, 9, 1, 6, 6, 7, 9, 4, 4, 5, 7, 2, 2, 3, 5, 0, 0, 1, 3, 8, 8, 9, 1, 6, 6, 7, 9, 4, 4, 5, 7, 2, 2, 3, 5, 0, 0
Offset: 0
Links
- Index entries for linear recurrences with constant coefficients, signature (1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1).
Crossrefs
Cf. A011377.
Formula
a(n) = A011377(n) mod 10.
a(n) = +a(n-1) -a(n-2) +a(n-3) -a(n-4) +a(n-5) -a(n-6) +a(n-7) -a(n-8) +a(n-9) -a(n-10) +a(n-11) -a(n-12) +a(n-13) -a(n-14) +a(n-15) -a(n-16) +a(n-17) -a(n-18) +a(n-19).
G.f.: ( -1 -2*x -6*x^2 -7*x^4 -12*x^6 -13*x^8 +4*x^9 -8*x^10 -9*x^12 +2*x^13 -5*x^16 -2*x^3 +4*x^11 +2*x^15 +6*x^5 +6*x^7 -4*x^14 ) / ( (x-1) *(1+x^2) *(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) ). - R. J. Mathar, Jul 08 2011
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