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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
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
Cf. A006752, A073595 (denominators).
Sequence in context: A079823 A107156 A062582 * A349927 A112097 A354304
KEYWORD
easy,frac,nonn
AUTHOR
Benoit Cloitre, Aug 28 2002
STATUS
approved