A056922 -id:A056922 - cp's OEIS frontend

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

Aleksandar Petojevic, Sep 05 2000

Cf. A002793, A056922 (denominators).

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

More terms from James Sellers, Sep 07 2000

A273939 a(0) = 1, a(1) = 2; for k>0, a(2k) = ka(2k-1) + a(2k-2), a(2k+1) = a(2k) + a(2*k-1).

Original entry on oeis.org

1, 2, 3, 5, 13, 18, 67, 85, 407, 492, 2867, 3359, 23021, 26380, 207681, 234061, 2080169, 2314230, 22908239, 25222469, 275132929, 300355398, 3579042307, 3879397705, 50131814767, 54011212472, 752277576903, 806288789375, 12040320628153

Offset: 0

Seiichi Manyama, Sep 22 2016

nonn

Seiichi Manyama, Table of n, a(n) for n = 0..896

Cf. A056921, A056922, A058798.

a(n) = A056921(n) + A056922(n).

cp's OEIS Frontend

A056952 Numerators of continued fraction for alternating factorial.

Views

Author

Keywords

Crossrefs

Formula

Extensions

A273939 a(0) = 1, a(1) = 2; for k>0, a(2k) = ka(2k-1) + a(2k-2), a(2k+1) = a(2k) + a(2*k-1).

Views

Author

Keywords

Links

Crossrefs

Formula

cp's OEIS Frontend

A056952 Numerators of continued fraction for alternating factorial.

Views

Author

Keywords

Crossrefs

Formula

Extensions

A273939 a(0) = 1, a(1) = 2; for k>0, a(2*k) = k*a(2*k-1) + a(2*k-2), a(2*k+1) = a(2*k) + a(2*k-1).

Views

Author

Keywords

Links

Crossrefs

Formula

A273939 a(0) = 1, a(1) = 2; for k>0, a(2k) = ka(2k-1) + a(2k-2), a(2k+1) = a(2k) + a(2*k-1).