A056952 Numerators of continued fraction for alternating factorial.

0, 1, 1, 2, 4, 8, 20, 44, 124, 300, 920, 2420, 7940, 22460, 78040, 235260, 859580, 2741660, 10477880, 35152820, 139931620, 491459820, 2030707640, 7436765660, 31805257340, 121046445260, 534514790680, 2108118579060, 9591325648580

Offset

0,4

Links

Table of n, a(n) for n=0..28.

Formula

a(0)=0; a(1)=1; a(n) = a(n-1) + (n/2)*a(n-2).

a(2n) = A002793(n); a(2n-1) = A002793(n) - n * A002793(n-1). - Max Alekseyev, Jul 07 2010

Crossrefs

Cf. A002793, A056922 (denominators).

Sequence in context: A078006 A288476 A338197 * A369496 A225585 A121703

Adjacent sequences: A056949 A056950 A056951 * A056953 A056954 A056955

Keyword

nonn,frac

Author

Aleksandar Petojevic, Sep 05 2000

Extensions

More terms from James A. Sellers, Sep 07 2000

Status

approved