|
| |
|
|
A355130
|
|
E.g.f. A(x) satisfies A(x) = 1 + x * A(2 * (1 - exp(-x))).
|
|
1
|
|
|
|
1, 1, 4, 42, 1160, 83270, 14923212, 6414048354, 6410464368912, 14565079937500542, 73986188807621474900, 829702542906852010728090, 20340869993779258576653846936, 1081654382501102944417336793863094, 123961854316018592747078219803021082332
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,3
|
|
|
LINKS
|
Table of n, a(n) for n=0..14.
|
|
|
FORMULA
|
a(0) = 1; a(n) = n * Sum_{k=0..n-1} (-1)^(n-k-1) * 2^k * Stirling2(n-1,k) * a(k).
a(n) = n * A355132(n-1) for n>0.
|
|
|
PROG
|
(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=i*sum(j=0, i-1, (-1)^(i-j-1)*2^j*stirling(i-1, j, 2)*v[j+1])); v;
|
|
|
CROSSREFS
|
Cf. A354574, A355102, A355132.
Sequence in context: A220180 A134356 A156479 * A355124 A111829 A200000
Adjacent sequences: A355127 A355128 A355129 * A355131 A355132 A355133
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
Seiichi Manyama, Jun 20 2022
|
|
|
STATUS
|
approved
|
| |
|
|
