

A073279


Number of digits of n!^n! (ultrafactorial numbers).


0



1, 1, 1, 5, 34, 250, 2058, 18661, 185695, 2017527, 23804069, 303413813, 4157895295, 60989187252, 953766105164, 15844435971349, 278704524938621, 5175632136205088, 101198102131888304, 2078318050691940125, 44731639502987747576, 1006917859088311808499
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OFFSET

0,4


LINKS

Table of n, a(n) for n=0..21.


FORMULA

a(n) = floor(log(n!^n!)/log(10)) + 1.


MATHEMATICA

Table[1 + Floor[n!*Log10[n!]], {n, 0, 21}] (* Arkadiusz Wesolowski, Oct 13 2012 *)


PROG

(PARI) for(n=0, 8, print1(length(Str(n!^n!)), ", "))


CROSSREFS

Cf. A046882 (ultrafactorial numbers), A000142 (n!), A034886 (digits of n!).
Sequence in context: A180909 A183415 A066559 * A080503 A078284 A083987
Adjacent sequences: A073276 A073277 A073278 * A073280 A073281 A073282


KEYWORD

base,nonn


AUTHOR

Rick L. Shepherd, Jul 23 2002


EXTENSIONS

More terms from Arkadiusz Wesolowski, Jul 04 2012
Terms a(17) to a(21) corrected by Arkadiusz Wesolowski, Oct 13 2012


STATUS

approved



