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Search: id:A061418
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| A061418 |
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a(n)=floor[a(n-1)*3/2] with a(1)=2. |
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+0
10
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| 2, 3, 4, 6, 9, 13, 19, 28, 42, 63, 94, 141, 211, 316, 474, 711, 1066, 1599, 2398, 3597, 5395, 8092, 12138, 18207, 27310, 40965, 61447, 92170, 138255, 207382, 311073, 466609, 699913, 1049869, 1574803, 2362204, 3543306, 5314959, 7972438
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,500
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FORMULA
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a(n) =A061419(n)+1 =ceiling[K*(3/2)^n] where K=1.08151366859...
The constant K is 2/3*K(3) (see A083286). - Ralf Stephan, May 29, 2003
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EXAMPLE
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a(6)=floor[9*3/2]=13.
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MATHEMATICA
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lst={}; s=2; Do[s=Floor[s*1.5]; AppendTo[lst, s], {n, 1, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 13 2008]
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PROGRAM
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(MAGMA) [ n eq 1 select 2 else Floor(Self(n-1)*(3/2)): n in [1..39] ]; [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Nov 14 2008]
(PARI) { a=4/3; for (n=1, 500, a=a*3\2; write("b061418.txt", n, " ", a) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 22 2009]
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CROSSREFS
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Cf. A002379, A034082, A061419, A003312.
First differences are in A073941.
Sequence in context: A135851 A101913 A121653 this_sequence A136423 A078932 A117791
Adjacent sequences: A061415 A061416 A061417 this_sequence A061419 A061420 A061421
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KEYWORD
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nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), May 02 2001
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