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A009117 Expansion of cos(x)^2. +0
6
1, -2, 8, -32, 128, -512, 2048, -8192, 32768, -131072, 524288, -2097152, 8388608, -33554432, 134217728, -536870912, 2147483648, -8589934592, 34359738368, -137438953472, 549755813888, -2199023255552, 8796093022208, -35184372088832, 140737488355328, -562949953421312 (list; graph; listen)
OFFSET

0,2

REFERENCES

Ghislain R. Franssens, On a Number Pyramid Related to the Binomial, Deleham, Eulerian, MacMahon and Stirling number triangles, Journal of Integer Sequences, Vol. 9 (2006), Article 06.4.1.

LINKS

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 171

FORMULA

1 followed by (-4)^n /2.

a(n)=Sum_{k, 0<=k<=n} A086872(n,k)*(-3)^(n-k). - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Aug 17 2007

MATHEMATICA

Cos[ x ]^2 (* Even Part *)

CROSSREFS

a(n) = (-1)^n*A004171(n-1).

Sequence in context: A099752 A081294 A004171 this_sequence A160637 A150829 A155084

Adjacent sequences: A009114 A009115 A009116 this_sequence A009118 A009119 A009120

KEYWORD

sign,easy

AUTHOR

R. H. Hardin (rhhardin(AT)att.net)

EXTENSIONS

Signs added and formula corrected Mar 15 1997 by Olivier Gerard.

More terms from Olaf Voss (richyfourtythree(AT)yahoo.com), Feb 13 2008

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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