

A179941


Number of times n appears in a 100 X 100 multiplication table.


3



1, 2, 2, 3, 2, 4, 2, 4, 3, 4, 2, 6, 2, 4, 4, 5, 2, 6, 2, 6, 4, 4, 2, 8, 3, 4, 4, 6, 2, 8, 2, 6, 4, 4, 4, 9, 2, 4, 4, 8, 2, 8, 2, 6, 6, 4, 2, 10, 3, 6, 4, 6, 2, 8, 4, 8, 4, 4, 2, 12, 2, 4, 6, 7, 4, 8, 2, 6, 4, 8, 2, 12, 2, 4, 6, 6, 4, 8, 2, 10, 5, 4, 2, 12, 4, 4, 4, 8, 2, 12, 4, 6, 4, 4, 4, 12, 2, 6, 6, 9
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OFFSET

1,2


COMMENTS

Identical to A000005 and A179942 for n <= 100.


LINKS

T. D. Noe, Table of n, a(n) for n = 1..10000


FORMULA

a(n) = 0 for n > 10000.


EXAMPLE

a(2) = 2 because the number 2 appears in 2 cells in a 100 X 100 multiplication table.


MAPLE

A179941 := proc(n) local a; a := 0 ; for x from 1 to 100 do y := n/x ; if type(y, 'integer') and y>0 and y < 100 then a := a+1 ; end if; end do: return a; end proc: seq(A179941(n), n=1..100); # R. J. Mathar, Aug 03 2010


MATHEMATICA

Table[Count[Flatten[Times@@@Tuples[Range[100], {2}]], n], {n, 10000}] (* Harvey P. Dale, Mar 24 2011 *)


PROG

(PARI) a(n)=sumdiv(n, d, d<101 && n/d<101) \\ Charles R Greathouse IV, Dec 27 2016


CROSSREFS

Cf. A000005, A179942.
Sequence in context: A134687 A184395 A329484 * A179942 A000005 A122667
Adjacent sequences: A179938 A179939 A179940 * A179942 A179943 A179944


KEYWORD

nonn,fini,full,less


AUTHOR

Dominick Cancilla, Aug 02 2010


EXTENSIONS

More terms from R. J. Mathar, Aug 03 2010
a(100) corrected by Harvey P. Dale, Mar 24 2011


STATUS

approved



