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A136269
Floor of sum of the first 10^n cube roots.
1
1, 16, 350, 7504, 161593, 3481214, 75000049, 1615826124, 34811916483, 750000000499, 16158260176316, 348119162523278, 7500000000004999, 161582601752402051, 3481191625209607376, 75000000000000049999, 1615826017523912899040, 34811916252095841925154
OFFSET
0,2
COMMENTS
Conjecture: For n = 3k, a(n) = (3/4)*10^(4n/3)+5*10^(n/3-1)-1.
The conjecture is true (see links) - Sela Fried, Oct 02 2024.
EXAMPLE
For n = 6, a(6) = (3/4)*10^8 + 5* 10^1-1 = 75000049.
PROG
(PARI) /* For this sequence, p = 3 */ g2(n, p) = for(j=0, n, s=0; for(x=0, 10^j, s+=x^(1/p)); print1(floor(s)", "))
CROSSREFS
Sequence in context: A227102 A221577 A363383 * A010368 A053103 A223032
KEYWORD
nonn
AUTHOR
Cino Hilliard, Mar 19 2008
STATUS
approved