The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A180125 Self-convolution of period-doubling sequence A035263 0
 0, 1, 0, 2, 2, 3, 2, 5, 2, 5, 2, 6, 4, 7, 4, 10, 6, 9, 6, 12, 8, 11, 8, 15, 8, 13, 8, 16, 10, 15, 10, 21, 10, 17, 10, 20, 12, 19, 12, 25, 12, 21, 12, 24, 14, 23, 14, 30, 16, 25, 16, 30, 18, 27, 18, 35, 18, 29, 18, 34, 20, 31, 20, 42, 22, 33, 22, 40, 24, 35, 24, 45, 24, 37 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Reducing a(n) mod 2 gives 1-A035263(n), which is also A096268(n+1). LINKS FORMULA a(n) = sum(b(i)b(n-i), i=1..(n-1)), where b(i)=A035263(i). MATHEMATICA b[i_] := b[i] = If[OddQ[i], 1, 1 - b[i/2]]; a[n_] := Sum[b[i] b[n - i], {i, 1, n - 1}] CROSSREFS Cf. A035263, A096268 Sequence in context: A010846 A073023 A173754 * A272209 A326842 A326843 Adjacent sequences:  A180122 A180123 A180124 * A180126 A180127 A180128 KEYWORD nonn AUTHOR Jacob A. Siehler, Aug 11 2010 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified January 17 17:03 EST 2021. Contains 340247 sequences. (Running on oeis4.)