A178113 Transform of C(n+1,floor((n+1)/2)) by A178112.

1, 2, 2, 4, 5, 10, 13, 26, 35, 70, 96, 192, 267, 534, 750, 1500, 2123, 4246, 6046, 12092, 17303, 34606, 49721, 99442, 143365, 286730, 414584, 829168, 1201917, 2403834, 3492117, 6984234, 10165779, 20331558, 29643870, 59287740, 86574831, 173149662

Offset

0,2

Comments

Hankel transform is A178115.

Links

Table of n, a(n) for n=0..37.

Formula

a(n) = Sum_{k=0..n} C(floor(n/2),floor(k/2))*((1+(-1)^(n-k))/2)*C(k+1,floor((k+1)/2)). [The formula seems to generate A026392, not these terms. - R. J. Mathar, Feb 10 2015]

Conjecture: a(2*n) = A005773(n+1), a(2*n+1) = 2*a(2*n). - Jason Yuen, Feb 09 2025

Crossrefs

Cf. A178112, A178115, A005773.

Sequence in context: A222006 A127712 A305840 * A032090 A000014 A114851

Adjacent sequences: A178110 A178111 A178112 * A178114 A178115 A178116

Keyword

easy,nonn

Author

Paul Barry, May 20 2010

Status

approved