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A062856 In the square multiplication table of size A062857(n), the smallest number which appears n times. 6
1, 2, 4, 6, 12, 12, 36, 60, 60, 60, 120, 120, 120, 120, 360, 360, 360, 360, 360, 360, 840, 840, 840, 840, 2520, 2520, 2520, 2520, 2520, 2520, 2520, 2520, 2520, 2520, 5040, 5040, 5040, 5040, 5040, 5040, 5040, 5040, 5040, 5040, 5040, 5040, 10080, 10080 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Smallest number to appear n times in any m X m multiplication table.

LINKS

Table of n, a(n) for n=1..48.

EXAMPLE

a(7)=36 because 36 is the first product to appear in the m X m multiplication tables 7 times as m increases from 1 to infinity.

MATHEMATICA

b[1] = {1, 1}; b[n_] := b[n] = For[m = b[n-1][[1]], True, m++, T = Table[i j, {i, m}, {j, m}] // Flatten // Tally; sel = SelectFirst[T, #[[2]] >= n&]; If[sel != {}, Print[n, " ", m, " ", sel[[1]]]; Return[{m, sel[[1]]}] ]];

a[n_] := b[n][[2]];

Table[a[n], {n, 1, 50}] (* Jean-Fran├žois Alcover, Mar 25 2019 *)

CROSSREFS

Cf. A027424, A062851, A062854, A062855, A062857, A062858, A062859.

Sequence in context: A056793 A137387 A137394 * A056371 A271822 A067874

Adjacent sequences:  A062853 A062854 A062855 * A062857 A062858 A062859

KEYWORD

nonn

AUTHOR

Ron Lalonde (ronronronlalonde(AT)hotmail.com), Jun 25 2001

EXTENSIONS

More terms from Don Reble, Nov 08 2001

STATUS

approved

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Last modified August 10 19:52 EDT 2020. Contains 336381 sequences. (Running on oeis4.)