|
Search: id:A035154
|
|
|
| A035154 |
|
Coefficients in expansion of Dirichlet series Product_p (1-(Kronecker(m,p)+1)*p^(-s)+Kronecker(m,p)*p^(-2s))^(-1) for m = -36. |
|
+0
9
|
|
| 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 3, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 3, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 4, 0, 0, 2, 0, 0, 0, 1, 2, 2, 3, 0, 0, 2, 0, 2, 1, 2, 0, 0, 4, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 3, 2, 2, 0, 2, 0
(list; graph; listen)
|
|
|
OFFSET
|
1,5
|
|
|
FORMULA
|
Moebius transform is period 12 sequence [ 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, -1, 0, ...]. - Michael Somos Jul 30 2006
Multiplicative with a(2^e)=a(3^e)=1, a(p^e)=e+1 if p=1(mod 4), a(p^e)=(1+(-1)^e)/2 if p=3(mod 4). - Michael Somos Jul 30 2006
|
|
PROGRAM
|
(PARI) {a(n)=if(n<1, 0, sumdiv(n, d, kronecker(-36, d)))} /* Michael Somos Jul 30 2006 */
(PARI) {a(n)=if(n<1, 0, direuler(p=2, n, 1/(1-X)/(1-kronecker(-36, p)*X))[n])} /* Michael Somos Jul 30 2006 */
|
|
CROSSREFS
|
A008441(n)=a(4n+1).
Sequence in context: A060505 A035188 A066295 this_sequence A113446 A121450 A132004
Adjacent sequences: A035151 A035152 A035153 this_sequence A035155 A035156 A035157
|
|
KEYWORD
|
nonn,mult
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
|
Search completed in 0.002 seconds
|
