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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A075457 Integer averages of first n perfect powers for some n. 0
1, 198, 1070, 2574, 10769, 66908, 1036663, 6436241, 12745650, 2253183029, 81422343214, 278747505724, 352663623088, 537668537432, 807810573770, 3169762558125, 3623176921864, 4225712901909, 4395991005975, 15435175116616, 1361811565229752 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..21.

EXAMPLE

198 is average of first n=33 perfect powers, 1070 (n=73), 2574 (n=111), 10769 (n=219), 66908 (n=519), 1036663 (n=1943).

PROG

(PARI) lista(nn) = {vec = vector(nn, i, i); pp = concat(1, select(i->ispower(i) , vec)); s = 0; for (i = 1, #pp, s += pp[i]; if ((s % i) == 0, print1(s/i, ", ")); ); } \\ Michel Marcus, Oct 02 2013

CROSSREFS

Cf. A001597.

Sequence in context: A156771 A065697 A159204 * A224452 A227705 A290933

Adjacent sequences:  A075454 A075455 A075456 * A075458 A075459 A075460

KEYWORD

easy,nonn

AUTHOR

Zak Seidov, Oct 11 2002

EXTENSIONS

Extended by Robert G. Wilson v, Oct 14 2002

a(8)-a(21) from Donovan Johnson, Oct 05 2013

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 May 26 19:44 EDT 2019. Contains 323597 sequences. (Running on oeis4.)