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Search: id:A106576
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A106576 Period 20. Sequence gives last digit of A106157, starting from the first positive term. +0
1
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 (list; graph; listen)
OFFSET

0,2

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)*(x+1)*(x^4-x^3+x^2-x+1)*(x^4+x^3+x^2+x+1)*(x^8-x^6+x^4-x^2+1)

a(n)=(1/190)*{71*(n mod 20)+14*[(n+1) mod 20]-5*[(n+2) mod 20]+14*[(n+3) mod 20]-43*[(n+4) mod 20]+33*[(n+5) mod 20]-24*[(n+6) mod 20]+33*[(n+7) mod 20]-62*[(n+8) mod 20]+52*[(n+9) mod 20]-43*[(n+10) mod 20]+52*[(n+11) mod 20]+14*[(n+12) mod 20]-24*[(n+13) mod 20]+33*[(n+14) mod 20]-24*[(n+15) mod 20]-5*[(n+16) mod 20]-5*[(n+17) mod 20]+14*[(n+18) mod 20]-5*[(n+19) mod 20]}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Oct 23 2008]

CROSSREFS

Sequence in context: A156565 A156693 A156564 this_sequence A128474 A108618 A097719

Adjacent sequences: A106573 A106574 A106575 this_sequence A106577 A106578 A106579

KEYWORD

easy,nonn

AUTHOR

Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), May 09 2005

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Last modified December 9 18:50 EST 2009. Contains 170568 sequences.


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