|
|
|
|
1, 21, 262, 2525, 20754, 152946, 1040556, 6659037, 40599130, 237978598, 1350216660, 7453221490, 40188242420, 212349718980, 1102352779992, 5634083759325, 28400234400810, 141402315307550, 696257439473860
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
G.f. c(x)/(1-4*x)^5, where c(x) = g.f. for Catalan numbers.
|
|
MAPLE
|
seq(coeff(series((1-sqrt(1-4*x))/(2*x*(1-4*x)^5), x, n+1), x, n), n = 0..20); # G. C. Greubel, Jan 13 2020
|
|
MATHEMATICA
|
Table[Binomial[n+5, 4]*(2^(2*n+1) -Binomial[2*n+10, n+5]/140), {n, 0, 20}] (* G. C. Greubel, Jan 13 2020 *)
|
|
PROG
|
(PARI) vector(21, n, binomial(n+5, 4)*(2^(2*n+1) -binomial(2*n+10, n+5)/140)) \\ G. C. Greubel, Jan 13 2020
(Magma) [Binomial(n+5, 4)*(2^(2*n+1) - Binomial(2*n+10, n+5)/140): n in [0..20]]; // G. C. Greubel, Jan 13 2020
(Sage) [binomial(n+5, 4)*(2^(2*n+1) - binomial(2*n+10, n+5)/140) for n in (0..20)] # G. C. Greubel, Jan 13 2020
(GAP) List([0..20], n-> Binomial(n+5, 4)*(2^(2*n+1) - Binomial(2*n+10, n+5)/140)); # G. C. Greubel, Jan 13 2020
|
|
CROSSREFS
|
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|