|
Search: id:A117209
|
|
|
| A117209 |
|
G.f. A(x) satisfies: 1/(1-x) = product_{n>=1} A(x^n). |
|
+0
6
|
|
| 1, 1, 0, -1, -1, -1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 2, -1, -1, -2, 0, 1, 3, -1, 0, -1, 1, -1, 1, -3, 1, -1, 1, -2, 3, 0, 6, -1, -1, -6, 2, -4, 4, -3, 2, -4, 6, -5, 6, -2, 7, -5, 4, -13, 5, -3, 11, -6, 8, -14, 10, -6, 9, -14, 11, -14, 15, -13, 9, -15, 24, -13, 19, -21, 12, -20, 27, -24, 21, -26, 22, -24, 33, -33, 32, -26
(list; graph; listen)
|
|
|
OFFSET
|
0,17
|
|
|
COMMENT
|
Self-convolution inverse is A117208.
|
|
LINKS
|
N. J. A. Sloane, Transforms
|
|
FORMULA
|
G.f.: A(x) = exp( Sum_{n>=1} A023900(n)*x^n/n ), where A023900 is the Dirichlet inverse of Euler totient function.
Euler transform of the Moebius (Mobius) function A008683 - Stuart Clary (clary(AT)uakron.edu), Frank Adams-Watters (FrankTAW(AT)Netscape.net) and Vladeta Jovovic (vladeta(AT)Eunet.yu), Apr 15, 2006
G.f.: A(x) = product_{k>=1}(1 - x^k)^(-mu(k)) where mu(k) is the Moebius (Mobius) function, A008683 - Stuart Clary (clary(AT)uakron.edu) and Frank Adams-Watters (FrankTAW(AT)Netscape.net), Apr 15, 2006
|
|
MATHEMATICA
|
nmax = 85; CoefficientList[ Series[ Product[ (1 - x^k)^(-MoebiusMu[k]), {k, 1, nmax} ], {x, 0, nmax} ], x ] - Stuart Clary (clary(AT)uakron.edu), Apr 15, 2006
|
|
PROGRAM
|
(PARI) {a(n)=polcoeff(exp(sum(k=1, n+1, sumdiv(k, d, d*moebius(d))*x^k/k)+x*O(x^n)), n)}
|
|
CROSSREFS
|
Cf. A023900 (log.g.f.), A117208 (inverse); variants: A117210, A117211, A117212.
Cf. A008683.
Sequence in context: A109066 A079066 A096496 this_sequence A035192 A089062 A039980
Adjacent sequences: A117206 A117207 A117208 this_sequence A117210 A117211 A117212
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
Paul D. Hanna (pauldhanna(AT)juno.com), Mar 03 2006
|
|
|
Search completed in 0.002 seconds
|
