|
|
A073594
|
|
Numerator of b(n) = Sum_{k=1..n} (-1)^(k+1)/k*Sum_{i=0..k-1} (-1)^i/(2*i+1).
|
|
2
|
|
|
1, 2, 43, 244, 1483, 42494, 4421639, 3975704, 17273323, 3917984134, 46801334969, 1002549557332, 735057842971, 13139661722338, 2022120072706607, 59425819929320912, 1064450614009503859, 3045237174301650742, 2242901701823948775361, 2149021201829850641044
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
LINKS
|
|
|
FORMULA
|
Limit_{n -> infinity} b(n) = G, the Catalan constant (A006752).
|
|
MATHEMATICA
|
Numerator[Accumulate[Table[(-1)^(k + 1)/k * Sum[(-1)^i/(2*i + 1), {i, 0, k - 1}], {k, 1, 20}]]] (* Amiram Eldar, May 05 2022 *)
|
|
PROG
|
(PARI) a(n)=numerator( sum(k=1, n, (-1)^(k+1)/k*sum(i=0, k-1, (-1)^i/(2*i+1))))
|
|
CROSSREFS
|
|
|
KEYWORD
|
easy,frac,nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|