|
Search: id:A096950
|
|
|
| A096950 |
|
Denominators of partial sums of series for 3*Artanh(1/3) = (3/2)*ln(2). |
|
+0
3
|
|
| 1, 27, 405, 25515, 2066715, 7577955, 2659862205, 71816279535, 3662630256285, 626309773824735, 2415766270466835, 166687872662211615, 7500954269799522675, 1822731887561284010025, 52859224739277236290725
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
Numerators are given in A096949.
|
|
FORMULA
|
a(n)=denominator(A(n)) with the rational number A(n):= sum(((1/3)^(2*k))/(2*k+1), k=0..n) in lowest terms.
|
|
EXAMPLE
|
n=10: A096949(10)/2415766270466835 = 2511722368895123/2415766270466835 = 1.039720770838... approximates 3*Artanh(1/3)= 1.039720770840...
|
|
CROSSREFS
|
Sequence in context: A036222 A022655 A155988 this_sequence A125484 A022751 A004326
Adjacent sequences: A096947 A096948 A096949 this_sequence A096951 A096952 A096953
|
|
KEYWORD
|
nonn,easy,frac
|
|
AUTHOR
|
Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Jul 16 2004
|
|
|
Search completed in 0.002 seconds
|
