login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A182103 Integral of exp(-x)*Phi_n(x) from 0 to infinity, Phi_n the n-th cyclotomic polynomial 1
0, 2, 4, 3, 34, 2, 874, 25, 727, 20, 4037914, 23, 522956314, 620, 35382, 40321, 22324392524314, 715, 6780385526348314, 39623, 439408062, 3301820, 1177652997443428940314, 40297, 2432903315854636921, 442386620, 6402373706090881, 475412423 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Appears to be all positive integers for n>1, suggesting the possibility of a combinatorial interpretation.

LINKS

Jair Taylor, Table of n, a(n) for n = 1..497

PROG

(Sage)

for n in range(1, 40):

  print integral(e^(-x)*cyclotomic_polynomial(n), x, 0, infinity)

CROSSREFS

Agrees with A003422(p) for p prime.

Sequence in context: A132049 A229213 A071970 * A303053 A163089 A258371

Adjacent sequences:  A182100 A182101 A182102 * A182104 A182105 A182106

KEYWORD

nonn

AUTHOR

Jair Taylor, Apr 11 2012

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 19 18:51 EDT 2019. Contains 326133 sequences. (Running on oeis4.)