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A090617 Highest power of 8 dividing n!. 5
0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 13, 13, 13, 13, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 18, 18, 18, 18, 19, 19, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 24, 24 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,9

LINKS

Table of n, a(n) for n=0..79.

FORMULA

a(n) =A090622(n, 8) =[A011371(n)/3] =[([n/2]+[n/4]+[n/8]+[n/16]+...)/3].

EXAMPLE

a(8)=2 since 8!=40320=8^2*630.

MATHEMATICA

Table[IntegerExponent[n!, 8], {n, 0, 80}] (* Harvey P. Dale, Mar 21 2013 *)

CROSSREFS

Cf. A011371, A054861, A090616, A027868, A054896.

Sequence in context: A209628 A132011 A054893 * A053693 A291309 A280472

Adjacent sequences:  A090614 A090615 A090616 * A090618 A090619 A090620

KEYWORD

nonn

AUTHOR

Henry Bottomley, Dec 06 2003

STATUS

approved

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Last modified November 18 13:22 EST 2018. Contains 317306 sequences. (Running on oeis4.)