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A065554 Numbers n such that floor((3/2)^(n+1))/floor((3/2)^n)=3/2. 10
2, 9, 11, 13, 24, 29, 31, 36, 37, 40, 41, 43, 49, 50, 51, 67, 68, 70, 72, 73, 77, 79, 80, 86, 88, 91, 92, 95, 101, 102, 103, 115, 121, 126, 127, 132, 134, 136, 142, 145, 146, 151, 154, 156, 162, 165, 167, 171, 172, 176, 178, 179, 181, 191, 193, 194, 195, 198, 199 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Also n such that A002380(n+1)=3*A002380(n) - Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 21 2003

It appears that lim n-->infinity a(n)/n =3 - Benoit Cloitre, Jan 29 2006

LINKS

Harry J. Smith, Table of n, a(n) for n=1,...,1000

MATHEMATICA

a[1] = 2; a[n_ ] := a[n] = Block[ {k = a[n - 1] + 1}, While[ Floor[(3/2)^(k + 1)] / Floor[(3/2)^k] != 3/2, k++ ]; Return[k]]; Table[ a[n], {n, 1, 70} ]

PROG

(PARI) { n=0; for (m=1, 10^9, x=floor((3/2)^(m+1))/floor((3/2)^m); if (2*x==3, write("b065554.txt", n++, " ", m); if (n==1000, return)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Oct 22 2009]

CROSSREFS

Cf. A002379.

Sequence in context: A072065 A137000 A073634 * A034042 A138759 A098934

Adjacent sequences:  A065551 A065552 A065553 * A065555 A065556 A065557

KEYWORD

nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Nov 28 2001

EXTENSIONS

Additional comments and more terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 30 2001

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Last modified February 14 23:16 EST 2012. Contains 205687 sequences.