A061769 - OEIS

A061769

The least number k = a(n) > a(n-1) for which k!/(k+1)^m for increasing m's.

1, 5, 11, 23, 35, 39, 44, 47, 59, 71, 79, 89, 119, 143, 179, 239, 359, 479, 629, 671, 719, 1079, 1119, 1259, 1343, 1439, 1889, 2015, 2159, 2239, 2519, 2879, 3023, 3359, 3779, 4031, 4319, 5039, 6047, 6719, 7559, 8639, 10079

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..42.

EXAMPLE

a(5) = 35 (one of the few composites in this sequence) because 35 is the least number such that 35!/36^7 and 23!/24^6.

MATHEMATICA

l = 0; Do[k = Max[l - 1, 1]; While[ !IntegerQ[ k! / (k + 1)^n], k++ ]; If[ k > l, l = k; Print[k] ], {n, 0, 1500} ]

CROSSREFS

Sequence in context: A295149 A143127 A235386 * A169744 A190148 A281875

Adjacent sequences: A061766 A061767 A061768 * A061770 A061771 A061772

KEYWORD

nonn

AUTHOR

Robert G. Wilson v, Jun 21 2001

STATUS

approved