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A060738 Number of distinct differences between consecutive divisors (ordered by increasing magnitude) of n! which are not also divisors of n!. 3
0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 5, 12, 51, 92, 225, 340, 573, 1325, 2334, 6024, 8724, 13130, 21601, 46169, 67213, 106427, 178014, 242104, 338499, 727248, 988029, 1924615 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,9

LINKS

Table of n, a(n) for n=0..31.

FORMULA

a(n)=A060763(n!)

EXAMPLE

For n up to 7 all divisor differences of n! are also divisors of n!. For n=8, there are 3 divisor differences of 8!=40320 which are not divisors of 8!, namely 27, 54 and 108.

MATHEMATICA

a[n_ ] := Length[Complement[Drop[d=Divisors[n! ], 1]-Drop[d, -1], d]]

CROSSREFS

Cf. A000142, A027423, A060737, A060742, A060763.

Sequence in context: A262192 A280308 A289121 * A090651 A242497 A062201

Adjacent sequences: A060735 A060736 A060737 * A060739 A060740 A060741

KEYWORD

more,nonn

AUTHOR

Labos Elemer, Apr 25 2001

EXTENSIONS

Edited by Dean Hickerson, Jan 22 2002

STATUS

approved

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Last modified December 1 07:34 EST 2022. Contains 358454 sequences. (Running on oeis4.)