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A061419 a(n) = ceiling[a(n-1)*3/2] with a(1) = 1. +0
15
1, 2, 3, 5, 8, 12, 18, 27, 41, 62, 93, 140, 210, 315, 473, 710, 1065, 1598, 2397, 3596, 5394, 8091, 12137, 18206, 27309, 40964, 61446, 92169, 138254, 207381, 311072, 466608, 699912, 1049868, 1574802, 2362203, 3543305, 5314958, 7972437, 11958656 (list; graph; listen)
OFFSET

1,2

LINKS

Eric Weisstein's World of Mathematics, Power Ceilings

FORMULA

a(n) = A061418(n)-1 = floor[K*(3/2)^n] where K = 1.08151366859...

The constant K is 2/3*K(3) (see A083286). - Ralf Stephan, May 29, 2003

a(1)=1, a(n)=A070885(n)/3. - Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 18 2002

a(n) = ceiling((a(n-1)+a(n-2))*9/10) - Frank Adams-Watters (FrankTAW(AT)Netscape.net), May 01 2006

EXAMPLE

a(6) = ceiling[8*3/2] = 12.

CROSSREFS

Cf. A002379, A034082, A061418, A061420, A003312.

First differences are in A073941.

Sequence in context: A077868 A109537 A081226 this_sequence A130732 A018135 A065435

Adjacent sequences: A061416 A061417 A061418 this_sequence A061420 A061421 A061422

KEYWORD

nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), May 02 2001

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Last modified September 5 01:44 EDT 2008. Contains 143476 sequences.


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