Search: id:A007613
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%I A007613 M2129
%S A007613 1,2,22,170,1366,10922,87382,699050,5592406,44739242,357913942,
%T A007613 2863311530,22906492246,183251937962,1466015503702,11728124029610,
%U A007613 93824992236886,750599937895082,6004799503160662,48038396025285290
%N A007613 (8^n + 2(-1)^n )/3.
%C A007613 Equals row sums of triangle A139459(n+1). Example: 170 = (1 + 84 + 84 
               + 1). Triangle A139459 = the ConvOffsStoT transform of the dodecahedral 
               numbers, A006560. - Gary W. Adamson (qntmpkt(AT)yahoo.com), Apr 22 
               2008
%D A007613 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A007613 D. S. Clark, Proof without words, Math. Mag., 63 (1990), 29.
%F A007613 a(n)=A078008(3n) - Paul Barry (pbarry(AT)wit.ie), Nov 29 2003
%F A007613 a(n)=(A082311(n)+(-1)^n)/2=(A001045(3n+1)+(-1)^n)/2. - Paul Barry (pbarry(AT)wit.ie), 
               Mar 24 2004
%F A007613 a(n)=sum{k=0..n, binomial(3n, 3k)}; - Paul Barry (pbarry(AT)wit.ie), 
               Jan 13 2005
%F A007613 a(n)=8a(n-1)+6*(-1)^n. - Paul Curtz (bpcrtz(AT)free.fr), Nov 19 2007
%Y A007613 Cf. A006560, A139459.
%Y A007613 Sequence in context: A123960 A091169 A000184 this_sequence A043037 A058441 
               A037567
%Y A007613 Adjacent sequences: A007610 A007611 A007612 this_sequence A007614 A007615 
               A007616
%K A007613 nonn,easy
%O A007613 0,2
%A A007613 N. J. A. Sloane (njas(AT)research.att.com), Robert G. Wilson v (rgwv(AT)rgwv.com)

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