id:A063915 - OEIS Search Results

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G.f.: (1 + Sum_{ i = 0..infinity} 2^i*x^(2^(i+1)-1)) / (1-x)^2.

+0
2

1, 3, 5, 9, 13, 17, 21, 29, 37, 45, 53, 61, 69, 77, 85, 101, 117, 133, 149, 165, 181, 197, 213, 229, 245, 261, 277, 293, 309, 325, 341, 373, 405, 437, 469, 501, 533, 565, 597, 629, 661, 693, 725, 757, 789, 821, 853, 885, 917, 949, 981, 1013, 1045 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`First differences are in A053644. Partial sums are in A063916.`
	LINKS	`R. Stephan, Some divide-and-conquer sequences ...` `R. Stephan, Table of generating functions`
	FORMULA	`a(n) = b(n+1), with b(2n)=2b(n)+2b(n-1)+1, b(2n+1)=4b(n)+1.`
	CROSSREFS	`Sequence in context: A138008 A063954 A123509 this_sequence A096228 A061571 A049690` `Adjacent sequences: A063912 A063913 A063914 this_sequence A063916 A063917 A063918`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), Sep 01 2001`
	EXTENSIONS	`More terms from Ralf Stephan (ralf(AT)ark.in-berlin.de), Sep 15 2003`

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.

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