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Revision History for A087690 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
Denominators of successive partial sums of sum(1/(2^n-1)).
(history; published version)
#22 by N. J. A. Sloane at Thu Oct 31 12:17:23 EDT 2013
MATHEMATICA

f[n_] := Denominator[Sum[1/(2^i - 1), {i, n}]]; Array[f, 16] (* _Robert G. Wilson v, _, May 25 2011 *)

Discussion
Thu Oct 31
12:17
OEIS Server: https://oeis.org/edit/global/2036
#21 by T. D. Noe at Fri Dec 28 20:30:03 EST 2012
STATUS

editing

approved

#20 by T. D. Noe at Fri Dec 28 20:29:59 EST 2012
MAPLE

a:= n -> denom(add(1/(2^i-1), i=1..n)); \\ _// _Robert Israel_, Dec 28 2012

#19 by T. D. Noe at Fri Dec 28 20:28:42 EST 2012
FORMULA

a(n) = a(n-1) (2^n - 1)/gcd(a(n-1) (2^n-1), (2^n-1) A087689(n-1) + a(n-1)). - _Robert Israel_, Dec 28 2012

MAPLE

a:= n -> denom(add(1/(2^i-1), i=1..n)); \\ _Robert Israel_, Dec 28 2012

EXTENSIONS

B-file, Maple program and comment corrected by Robert Israel, Dec 28 2012

STATUS

reviewed

editing

#18 by Robert Israel at Fri Dec 28 18:47:25 EST 2012
STATUS

proposed

reviewed

#17 by Robert Israel at Fri Dec 28 18:46:46 EST 2012
STATUS

editing

proposed

#16 by Robert Israel at Fri Dec 28 18:45:54 EST 2012
COMMENTS

Least common denominators of A000225.

LINKS

Robert Israel, <a href="/A087690/b087690.txt">Table of n, a(n) for n = 1..103</a>

FORMULA

a(n) = a(n-1) (2^n - 1)/gcd(a(n-1) (2^n-1), (2^n-1) A087689(n-1) + a(n-1))

MAPLE

a:= n -> denom(add(1/(2^i-1), i=1..n));

EXTENSIONS

B-file, Maple program and comment corrected by Robert Israel, Dec 28 2012

STATUS

approved

editing

#15 by N. J. A. Sloane at Fri Dec 28 15:15:59 EST 2012
STATUS

editing

approved

#14 by N. J. A. Sloane at Fri Dec 28 15:15:42 EST 2012
FORMULA

a(n) = lcm(a(n-1), 2^n-1)

KEYWORD

frac,nonn,changed

STATUS

approved

editing

Discussion
Fri Dec 28
15:15
N. J. A. Sloane: Deleted erroneous formula
#13 by Harvey P. Dale at Fri Dec 28 15:15:36 EST 2012
STATUS

editing

approved