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!)
A254322 E.g.f.: (1-11*x)^(-10/11). 2
1, 10, 210, 6720, 288960, 15603840, 1014249600, 77082969600, 6706218355200, 657209398809600, 71635824470246400, 8596298936429568000, 1126115160672273408000, 159908352815462823936000, 24465977980765812062208000, 4012420388845593178202112000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Generally, for k > 1, if e.g.f. = (1-k*x)^(-(k-1)/k) then a(n) ~ n! * k^n / (n^(1/k) * GAMMA((k-1)/k)).

LINKS

Table of n, a(n) for n=0..15.

FORMULA

D-finite with recurrence: a(0) = 1; a(n) = (11*n-1) * a(n-1) for n > 0. [corrected by Georg Fischer, Dec 23 2019]

a(n) = 11^n * GAMMA(n+10/11) / GAMMA(10/11).

a(n) ~ n! * 11^n / (n^(1/11) * GAMMA(10/11)).

MATHEMATICA

CoefficientList[Series[(1-11*x)^(-10/11), {x, 0, 20}], x] * Range[0, 20]!

FullSimplify[Table[11^n * Gamma[n+10/11] / Gamma[10/11], {n, 0, 18}]]

CROSSREFS

Cf. A001147 (k=2), A008544 (k=3), A008545 (k=4), A008546 (k=5), A008543 (k=6), A049209 (k=7), A049210 (k=8), A049211 (k=9), A049212 (k=10).

Cf. A000108, A254282, A254286, A254287.

Sequence in context: A076803 A120596 A238467 * A327411 A112364 A201621

Adjacent sequences:  A254319 A254320 A254321 * A254323 A254324 A254325

KEYWORD

nonn,easy

AUTHOR

Vaclav Kotesovec, Jan 28 2015

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 8 08:27 EDT 2020. Contains 336293 sequences. (Running on oeis4.)