A092809 - OEIS

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A092809

Expansion of (1+x-x^2)/((1-x^2)(1-4x^2)).

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; refs; listen; history; internal format)

	OFFSET	`0,3`
	COMMENTS	`Partial sums of A092808.` `Apply matrix A133080 to A001045(n+1). [From Paul Barry (pbarry(AT)wit.ie), Oct 08 2009]`
	FORMULA	`a(n)=52^n/6+(-2)^n/6+(-1)^n/6-1/6; a(2n)=4^n=A000302(n); a(2n+1)=(44^n-1)/3=A002450(n+1).`
	CROSSREFS	`Cf. A001045.` `Sequence in context: A024854 A025617 A078581 * A058622 A196021 A064294` `Adjacent sequences: A092806 A092807 A092808 * A092810 A092811 A092812`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Mar 10 2004`

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Last modified February 17 09:17 EST 2012. Contains 206009 sequences.