|
| |
|
|
A054441
|
|
Convolution of (shifted) A026671 with A000984 (central binomial coefficients of even order).
|
|
1
| |
|
|
0, 1, 5, 23, 103, 455, 1993, 8679, 37633, 162643, 701075, 3015563, 12948083, 55513327, 237705547, 1016736115, 4344766607, 18550920063, 79149527249, 337482635279, 1438155203665, 6125448713739, 26077796587441
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,3
|
|
|
FORMULA
| G.f.: cbie(x)*x/(-x+1/cbie(x)), with cbie(x)=1/sqrt(1-4*x) = g.f. for A000984.
a(n) = sum(A026671(k-1)*binomial(2*(n-k), n-k), k=0..n), with A026671(-1) := 0. a(n)= A026671(n)-binomial(2*n, n).
a(n) = sum(a(k-1)*binomial(2*(n-k), n-k), k=1..n) + 4^(n-1), n >= 1,
|
|
|
CROSSREFS
| Cf. A026671, A000984.
Sequence in context: A113443 A124999 A120902 * A102285 A129162 A167660
Adjacent sequences: A054438 A054439 A054440 * A054442 A054443 A054444
|
|
|
KEYWORD
| easy,nonn
|
|
|
AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de) Mar 21 2000
|
| |
|
|
