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Search: id:A092809
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A092809 Expansion of (1+x-x^2)/((1-x^2)(1-4x^2)). +0
1
1, 1, 4, 5, 16, 21, 64, 85, 256, 341, 1024, 1365, 4096, 5461, 16384, 21845, 65536, 87381, 262144, 349525, 1048576, 1398101, 4194304, 5592405, 16777216, 22369621, 67108864, 89478485, 268435456, 357913941, 1073741824, 1431655765, 4294967296 (list; graph; listen)
OFFSET

0,3

COMMENT

Partial sums of A092808.

Apply matrix A133080 to A001045(n+1). [From Paul Barry (pbarry(AT)wit.ie), Oct 08 2009]

FORMULA

a(n)=5*2^n/6+(-2)^n/6+(-1)^n/6-1/6; a(2n)=4^n=A000302(n); a(2n+1)=(4*4^n-1)/3=A002450(n+1).

CROSSREFS

Cf. A001045.

Sequence in context: A024854 A025617 A078581 this_sequence A058622 A064294 A057729

Adjacent sequences: A092806 A092807 A092808 this_sequence A092810 A092811 A092812

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Mar 10 2004

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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