login
The OEIS is supported by
the many generous donors to the OEIS Foundation
.
Hints
(Greetings from
The On-Line Encyclopedia of Integer Sequences
!)
A308866
a(n) = Sum_{k>=0} k^(2^n)/2^(k+1).
0
1, 3, 75, 545835, 5315654681981355, 23545154085734896649184490637144855476395, 1408419189834457368564204829523128565178390518208834734403870775971211916384631776000167564122146475
(
list
;
graph
;
refs
;
listen
;
history
;
text
;
internal format
)
OFFSET
0,2
LINKS
Table of n, a(n) for n=0..6.
FORMULA
a(n) = Sum_{k=0..2^n} k!*Stirling2(2^n,k).
a(n) =
A000670
(
A000079
(n)).
MATHEMATICA
Table[Sum[k^(2^n)/2^(k + 1), {k, 0, Infinity}], {n, 0, 6}]
Table[Sum[k! StirlingS2[2^n, k], {k, 0, 2^n}], {n, 0, 6}]
CROSSREFS
Cf.
A000079
,
A000670
,
A008277
,
A135085
.
Sequence in context:
A320306
A359500
A238000
*
A089301
A037110
A168385
Adjacent sequences:
A308863
A308864
A308865
*
A308867
A308868
A308869
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy
, Jun 29 2019
STATUS
approved
Lookup
|
Welcome
|
Wiki
|
Register
|
Music
|
Plot 2
|
Demos
|
Index
|
Browse
|
More
|
WebCam
Contribute new seq. or comment
|
Format
|
Style Sheet
|
Transforms
|
Superseeker
|
Recents
The OEIS Community
| Maintained by
The OEIS Foundation Inc.
License Agreements, Terms of Use, Privacy Policy.
.
Last modified April 24 08:59 EDT 2024. Contains 371935 sequences. (Running on oeis4.)