

A178156


Numbers m such that (m1)! is not divisible by m^2.


3



2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 17, 19, 22, 23, 26, 29, 31, 34, 37, 38, 41, 43, 46, 47, 53, 58, 59, 61, 62, 67, 71, 73, 74, 79, 82, 83, 86, 89, 94, 97, 101, 103, 106, 107, 109, 113, 118, 122, 127, 131, 134, 137, 139, 142, 146, 149, 151, 157, 158, 163
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OFFSET

1,1


COMMENTS

Union of {8, 9} and A001751.


REFERENCES

G. Pólya and G. Szegő, Problems and Theorems in Analysis II (Springer 1924, reprinted 1972), Part Eight, Chap. 3, Sect. 1, Problem 133b.


LINKS

Table of n, a(n) for n=1..62.


MATHEMATICA

Select[Range[200], !Divisible[(#1)!, #^2]&] (* Harvey P. Dale, Mar 06 2016 *)


PROG

(PARI) for(m=1, 3e2, if((m1)!%m^2, print1(m", "))) \\ Charles R Greathouse IV, Aug 21 2011
(Haskell)
import Data.List (insert)
a178156 n = a178156_list !! (n1)
a178156_list = insert 9 $ insert 8 a001751_list
 Reinhard Zumkeller, Oct 14 2014


CROSSREFS

Cf. A046022, A000142, A174460.
Cf. A001751.
Sequence in context: A049813 A354925 A229991 * A334294 A177054 A247760
Adjacent sequences: A178153 A178154 A178155 * A178157 A178158 A178159


KEYWORD

nonn


AUTHOR

Reinhard Zumkeller, Dec 17 2010


EXTENSIONS

Entries corrected by Charles R Greathouse IV, Aug 21 2011


STATUS

approved



