OFFSET

1,6

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000

Jonathan M. Borwein and others, Nearest Integer Zeta Functions, solution to Problem 10212, The American Mathematical Monthly, Vol. 101, No. 6 (1994), pp. 579-580.

FORMULA

Sum_{n>=1} 1/a(n)^s = 4*zeta(s-3) + zeta(s-1), for s>4 (Borwein, 1994).

EXAMPLE

a(1) = 1 since 1^(1/4) = 1.

a(6) = 2 since 6^(1/4) = 1.565... and its nearest integer is 2.

MATHEMATICA

Table[Round[Surd[n, 4]], {n, 1, 100}]

CROSSREFS

KEYWORD

nonn,easy

AUTHOR

Amiram Eldar, Dec 13 2020

STATUS

approved