id:A140407 - OEIS Search Results

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A000225 interleaved with A000051.

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1, 2, 3, 3, 7, 5, 15, 9, 31, 17, 63, 33, 127, 65, 255, 129, 511, 257, 1023, 513, 2047, 1025, 4095, 2049, 8191, 4097, 16383, 8193, 32767, 16385, 65535, 32769, 131071, 65537, 262143, 131073, 524287, 262145, 1048575, 524289, 2097151, 1048577, 4194303 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`a(2n) = A000225(n+1) = A135530(2n)-1. a(2n+1)=A000051(n) = 1+A135530(2n+1).` `a(n) = -a(n-1)+2a(n-2)+2a(n-3). a(2n)+a(2n+1) = 3*A000079(n).` `O.g.f.: (1+3x+3x^2)/((1+x)(1-2x^2)). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 08 2008`
	CROSSREFS	`Sequence in context: A097359 A079387 A076557 this_sequence A063670 A108346 A062761` `Adjacent sequences: A140404 A140405 A140406 this_sequence A140408 A140409 A140410`
	KEYWORD	`nonn`
	AUTHOR	`Paul Curtz (bpcrtz(AT)free.fr), Jun 16 2008`
	EXTENSIONS	`Edited and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 08 2008`

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Last modified September 7 23:08 EDT 2008. Contains 143486 sequences.

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