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A139149 Integer of the form (n!+2)/2. +0
23
2, 4, 13, 61, 361, 2521, 20161, 181441, 1814401, 19958401, 239500801, 3113510401, 43589145601, 653837184001, 10461394944001, 177843714048001, 3201186852864001, 60822550204416001, 1216451004088320001 (list; graph; listen)
OFFSET

2,1

COMMENT

Numbers of the form (n!+m)/m:

m=1 numbers of the form (n!+1)/1 see A038507

m=2 numbers of the form (n!+2)/2 see A139149

m=3 numbers of the form (n!+3)/3 see A139150

m=4 numbers of the form (n!+4)/4 see A139151

m=5 numbers of the form (n!+5)/5 see A139152

m=6 numbers of the form (n!+6)/6 see A139153

m=7 numbers of the form (n!+7)/7 see A139154

m=8 numbers of the form (n!+8)/8 see A139155

m=9 numbers of the form (n!+9)/9 see A139156

m=10 numbers of the form (n!+10)/10 see A139157

Offsets for above sequences are Kempner (or Smarandache) numbers A002034

For smallest integer number of the form (m!+n)/n see A139148.

EXAMPLE

(1!+2)/2=3/2 is not an integer, a(1)=(2!+2)/2=2

MATHEMATICA

Table[(n! + 2)/2, {n, 2, 30}]

CROSSREFS

Cf. A082672, A089085, A089130, A117141, A007749, A139056, A139057, A139058, A139059, A139060, A139061, A139061, A139062, A139063, A139064, A139065, A139066, A020458, A139068, A137390, A139070, A139071, A139072, A139073, A139074, A139075, A139148, A139149, A139150, A139151, A139152, A139153, A139154, A139155, A139156, A139157, A139158, A139158, A139159, A139160, A139161, A139162.

Sequence in context: A111977 A020120 A020097 this_sequence A132786 A103845 A055463

Adjacent sequences: A139146 A139147 A139148 this_sequence A139150 A139151 A139152

KEYWORD

nonn

AUTHOR

Artur Jasinski (grafix(AT)csl.pl), Apr 11 2008

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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