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A063915 G.f.: (1 + Sum_{ i = 0..infinity} 2^i*x^(2^(i+1)-1)) / (1-x)^2. 1
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; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

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: A063954 A123509 A196094 * A183859 A096228 A061571

Adjacent sequences:  A063912 A063913 A063914 * 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 February 16 12:41 EST 2012. Contains 205909 sequences.