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Search: id:A024049
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| 0, 4, 24, 124, 624, 3124, 15624, 78124, 390624, 1953124, 9765624, 48828124, 244140624, 1220703124, 6103515624, 30517578124, 152587890624, 762939453124, 3814697265624, 19073486328124, 95367431640624
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Numbers n for which the expression 5^n/(n+1) is an integer. - Paolo P. Lava (ppl(AT)spl.at), May 29 2006
Numbers whose base 5 representation is 44444.......4. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 03 2007
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FORMULA
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G.f.: 1/(1-5*x)-1/(1-x). E.g.f.: e^(5*x)-e^x. [From Mohammad K. Azarian (azarian(AT)evansville.edu), Jan 14 2009]
a(n)=5*a(n-1)+4 (with a(1)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 30 2009]
a(n+1) = 5*a(n) + 4. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 22 2009]
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EXAMPLE
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For n=2, a(2)=5*0+4=4; n=3, a(3)=5*4+4=24; n=4, a(4)=5*24+4=124 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 30 2009]
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CROSSREFS
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Sequence in context: A002011 A049315 A098224 this_sequence A103455 A048180 A057391
Adjacent sequences: A024046 A024047 A024048 this_sequence A024050 A024051 A024052
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KEYWORD
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nonn,new
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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