|
Search: id:A117981
|
|
|
| A117981 |
|
A modified Legendre-binomial transform of 2^n for p=3. |
|
+0
2
|
|
| 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; listen)
|
|
|
OFFSET
|
0,3
|
|
|
COMMENT
|
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).
|
|
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
|
Sequence in context: A011472 A001733 A092076 this_sequence A024955 A088467 A011007
Adjacent sequences: A117978 A117979 A117980 this_sequence A117982 A117983 A117984
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Apr 06 2006
|
|
|
Search completed in 0.002 seconds
|
