login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A117981 A modified Legendre-binomial transform of 2^n for p=3. 1
1, 1, 7, 7, 7, 49, 73, 73, 511, 511, 511, 3577, 3577, 3577, 25039, 37303, 37303, 261121, 262657, 262657, 1838599, 1838599, 1838599, 12870193, 19173961, 19173961, 134217727, 134217727, 134217727, 939524089, 939524089 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
a(3n) = a(3n+1) = a(3n+2)/7; a(3^k*n) = a(3^k*n+3^(k-1))/a(3^(k-1)) = a(3^k*n+2*3^(k-1))/a(2*3^(k-1)), k>0. a(3n) = A117982(n).
LINKS
FORMULA
a(n) = Sum_{k=0..n} (-1)^(n-k)*L(C(n,k)/3)*2^k where L(j/p) is the Legendre symbol of j and p.
CROSSREFS
Cf. A117982.
Sequence in context: A245423 A242889 A092076 * A024955 A328824 A360080
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Apr 06 2006
STATUS
approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 29 05:48 EDT 2024. Contains 371265 sequences. (Running on oeis4.)