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A166577 Inverse binomial transform of A166517. +0
1
1, 4, -5, 10, -20, 40, -80, 160, -320, 640, -1280, 2560, -5120, 10240, -20480, 40960, -81920, 163840, -327680, 655360, -1310720, 2621440, -5242880, 10485760, -20971520, 41943040, -83886080, 167772160, -335544320, 671088640, -1342177280, 2684354560, -5368709120 (list; graph; listen)
OFFSET

0,2

COMMENT

The definition assumes that the offset of A166517 is changed to 0.

A166517 mod 9 yields a periodic sequence with period 1, 5, 4, 8, 7, 2.

This set of numbers in the period appears also in A153130, A146501, and A166304.

FORMULA

a(n)= -2*a(n-1), n>2.

a(n)= (-1)^(n+1)*A020714(n-2), n>1.

a(n)=(9/4)*{1-[(n+2) mod (n+1)]}+(3/2)*{C[(n+1)^2,n+3] mod 2}-5*(-2)^(n-2), with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Nov 02 2009]

CROSSREFS

Cf A010716, A010692, A010859

Sequence in context: A049867 A054173 A049898 this_sequence A109675 A052508 A074098

Adjacent sequences: A166574 A166575 A166576 this_sequence A166578 A166579 A166580

KEYWORD

sign,easy,new

AUTHOR

Paul Curtz (bpcrtz(AT)free.fr), Oct 17 2009

EXTENSIONS

Edited, comments not concerning this sequence removed, and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 21 2009

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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