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A246754 Least positive number k such that k^k is at least 10^n digits long. 0
1, 10, 57, 387, 2890, 22934, 189482, 1611056, 13993960, 123579654, 1105747503, 10000000000, 91239358932, 838673386122, 7758099162327, 72158973089377, 674359248152535, 6328590417713813, 59611349660814244, 563355446524384647, 5339735395113038337 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..20.

FORMULA

a(n) = ceil(exp(W(10^n*log 10))) for n > 0. - Charles R Greathouse IV, Nov 16 2014

PROG

(PARI) a(n)= k=floor(sqrt(10^n)); while(#digits(k^k)<10^n, k++); k

n=0; while(n<10, print1(a(n), ", "); n++)

(PARI) a(n)=if(n, ceil(exp(lambertw(10^n*log(10)))), 1) \\ Charles R Greathouse IV, Nov 16 2014

CROSSREFS

Sequence in context: A038733 A004142 A006529 * A024133 A229074 A103417

Adjacent sequences:  A246751 A246752 A246753 * A246755 A246756 A246757

KEYWORD

nonn,base

AUTHOR

Derek Orr, Nov 15 2014

EXTENSIONS

More terms from Alois P. Heinz, Nov 15 2014

STATUS

approved

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Last modified February 21 04:43 EST 2018. Contains 299389 sequences. (Running on oeis4.)