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A092979 Least k such that (n+1)(n+2)...(k-1)k >= n!. +0
2
2, 3, 5, 6, 8, 10, 11, 13, 15, 16, 18, 20, 21, 23, 25, 27, 28, 30, 32, 33, 35, 37, 39, 40, 42, 44, 45, 47, 49, 51, 52, 54, 56, 58, 59, 61, 63, 65, 66, 68, 70, 72, 73, 75, 77, 79, 80, 82, 84, 86, 88, 89, 91, 93, 95, 96, 98, 100, 102, 103, 105, 107, 109, 111, 112, 114, 116, 118 (list; graph; listen)
OFFSET

1,1

EXAMPLE

a(7) = 11 as 8 < 7!, 8*9 <7!, 8*9*10 < 7! but 8*9*10*11=7920 >7!=5040.

MATHEMATICA

Do[k = n + 1; s = k; While[s < n!, k++; s = s * k]; Print[k], {n, 1, 30}] (Propper)

CROSSREFS

Cf. A092980.

Sequence in context: A026355 A099267 A007067 this_sequence A135260 A085921 A005243

Adjacent sequences: A092976 A092977 A092978 this_sequence A092980 A092981 A092982

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 27 2004

EXTENSIONS

More terms from William Rex Marshall (w.r.marshall(AT)actrix.co.nz), Jun 22 2005

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Last modified September 6 16:04 EDT 2008. Contains 143483 sequences.


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