OFFSET
0,3
COMMENTS
The antiderivative of x^x cannot be described in terms of elementary functions.
a(1)=1 is the rounding of A083648.
LINKS
Eric Weisstein's World of Mathematics, Sophomore's Dream
EXAMPLE
Integral_{X=0..4} x^x dx = 114.119062..., so a(4) = 114.
Integral_{x=0..7} x^x dx = 284713.7347218579997..., so a(7) = 284714.
MATHEMATICA
Table[Round[NIntegrate[x^x, {x, 0, n}, WorkingPrecision->100]], {n, 0, 20}] (* Harvey P. Dale, Nov 04 2020 *)
PROG
(PARI) for(k=0, 19, print1(round(intnum(x=0, k, x^x)), ", ")) \\ Hugo Pfoertner, Jan 18 2020
CROSSREFS
KEYWORD
nonn
AUTHOR
Eliora Ben-Gurion, Jan 10 2020
STATUS
approved