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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A032513 Sum of the integer part of 5th roots of positive integers less than or equal to n. 6
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101, 103, 105, 107 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..69.

FORMULA

G.f.: Sum_{k>=1} x^(k^5)/(1 - x)^2. - Ilya Gutkovskiy, Dec 22 2016

MATHEMATICA

Accumulate[Floor[Surd[Range[0, 70], 5]]] (* Harvey P. Dale, Jan 21 2019 *)

PROG

(PARI) a(n) = sum(k=1, n, sqrtnint(k, 5)); \\ Michel Marcus, Mar 12 2016

CROSSREFS

Cf. A022554, A031876, A032512.

Sequence in context: A090110 A166718 A132016 * A272323 A273881 A048266

Adjacent sequences:  A032510 A032511 A032512 * A032514 A032515 A032516

KEYWORD

nonn

AUTHOR

Michel Tixier (tixier(AT)dyadel.net)

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 October 16 23:30 EDT 2019. Contains 328103 sequences. (Running on oeis4.)