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Search: id:A000976
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A000976 Period of 1 / n! in base 10. +0
1
0, 0, 1, 1, 1, 1, 6, 6, 18, 18, 18, 54, 54, 378, 1134, 1134, 9072, 81648, 81648, 81648, 1714608, 18860688, 18860688, 56582064, 56582064, 735566832, 19860304464 (list; graph; listen)
OFFSET

1,7

FORMULA

a(n) = k where k is the smallest integer>=1 such that 10^k=1 mod n!/(2^A011371(n)*5^floor(n/5)) and A011371 is the highest power of 2 dividing n!. - C. Ronaldo (aga_new_ac(AT)hotmail.com), Dec 16 2004

MAPLE

with(numtheory): Digits:=100: A011371:= proc(n) options remember: if n=0 then RETURN(0) else RETURN(A011371(floor(n/2))+floor(n/2)) fi: end; A000976:= proc(n) RETURN(order(10, n!/(2^A011371(n)*5^floor(n/5)))): end; 0, 0, seq(A000976(n), n=3..24); (C. Ronaldo)

CROSSREFS

Sequence in context: A058563 A038518 A151724 this_sequence A161787 A092297 A073096

Adjacent sequences: A000973 A000974 A000975 this_sequence A000977 A000978 A000979

KEYWORD

nonn,base

AUTHOR

Simon Plouffe (simon.plouffe(AT)gmail.com)

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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