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A010887 Simple periodic sequence. +0
2
1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8, 1 (list; graph; listen)
OFFSET

0,2

COMMENT

Partial sums are given by A130486(n)+n+1. - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 08 2007

FORMULA

a(n) = 1 + (n mod 8) - Paolo P. Lava (ppl(AT)spl.at), Nov 21 2006

a(n)=1/2*(9-(-1)^n-2*(-1)^(b/4)-4*(-1)^((b-2+2*(-1)^(b/4))/8)) where b=2n-1+(-1)^n. Also a(n)=A010877(n)+1. - G.f.: g(x)=(sum{0<=k<8, (k+1)*x^k})/(1-x^8). Also: g(x)=(8x^9-9x^8+1)/((1-x^8)(1-x)^2). - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 08 2007

CROSSREFS

Cf. A010872, A010873, A010874, A010875, A010876, A010878, A004526, A002264, A002265, A002266.

Sequence in context: A004184 A031076 A053844 this_sequence A053830 A033929 A025482

Adjacent sequences: A010884 A010885 A010886 this_sequence A010888 A010889 A010890

KEYWORD

nonn

AUTHOR

njas

page 1

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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