|
| |
|
|
A000772
|
|
E.g.f. exp(tan(x) + sec(x) - 1).
|
|
4
|
|
|
|
1, 1, 2, 6, 23, 107, 583, 3633, 25444, 197620, 1684295, 15618141, 156453857, 1683050189, 19344093070, 236497985706, 3063827565763, 41916787157011, 603799270943519, 9132945141812301, 144708157060239704, 2396568154933265024, 41403636316192616995
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,3
|
|
|
COMMENTS
|
The number of elevated increasing binary trees. There is no restriction on the outdegree at the root. - Wenjin Woan, Jan 09 2008
|
|
|
LINKS
|
T. D. Noe, Table of n, a(n) for n = 0..100
|
|
|
FORMULA
|
a(n)=sum(k=1..n, A147315(n-1,k-1)), n>0, a(0)=1. [From Vladimir Kruchinin, Mar 10 2011]
a(n) = D^n(exp(x)) evaluated at x = 0, where D is the operator (1+x+x^2/2!)*d/dx. Cf. A000110 and A094198. See also A185422. - Peter Bala, Nov 25 2011
|
|
|
MATHEMATICA
|
nn = 25; Range[0, nn]! CoefficientList[Series[Exp[Tan[x] + Sec[x] - 1], {x, 0, nn}], x] (* T. D. Noe, Jun 20 2012 *)
|
|
|
CROSSREFS
|
Sequence in context: A187761 A130908 A200404 * A200405 A200403 A113226
Adjacent sequences: A000769 A000770 A000771 * A000773 A000774 A000775
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
N. J. A. Sloane.
|
|
|
STATUS
|
approved
|
| |
|
|
