login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A305207 a(n) = [x^n] exp(Sum_{k>=1} x^k/(k*(1 - n*x^k))). 2
1, 1, 3, 13, 95, 921, 11586, 176324, 3162447, 65233120, 1521743103, 39609506223, 1138093049808, 35779807446670, 1221719353617885, 45025117385882889, 1781345658408660655, 75304205654268663567, 3387556543611248410593, 161575661076504392490150, 8144909167115962980271095 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..20.

N. J. A. Sloane, Transforms

FORMULA

a(n) = [x^n] Product_{k>=1} 1/(1 - x^k)^(n^(k-1)).

MATHEMATICA

Table[SeriesCoefficient[Exp[Sum[x^k/(k (1 - n x^k)), {k, 1, n}]], {x, 0, n}], {n, 0, 20}]

Table[SeriesCoefficient[Product[1/(1 - x^k)^(n^(k - 1)), {k, 1, n}], {x, 0, n}], {n, 0, 20}]

CROSSREFS

Cf. A034691, A104460, A252654, A305209.

Sequence in context: A292501 A243243 A274052 * A183283 A006898 A277492

Adjacent sequences:  A305204 A305205 A305206 * A305208 A305209 A305210

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, May 27 2018

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 April 12 12:39 EDT 2021. Contains 342920 sequences. (Running on oeis4.)