|
|
A281444
|
|
E.g.f. C(x) satisfies: C(x) = cosh( Integral C(x)^8 dx ).
|
|
1
|
|
|
1, 1, 33, 3393, 715329, 255419649, 138324673377, 105723078203457, 108400924932329601, 143589514674637260801, 238670525628280806487713, 486411018516606613409744193, 1192731112687557517714202303169, 3464267964203640308372312350830849, 11761665286319167564660531957187772897, 46153563625764407361666349419808431496257, 207288280492672493893642973836751374267592961
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
|
|
FORMULA
|
C(x)^2 - S(x)^2 = 1 and C(x) = 1 + Integral C(x)^8*S(x) dx, where S(x) is described by A281439.
|
|
PROG
|
(PARI) {a(n) = my(S=x, C=1); for(i=0, n, S = intformal( C^9 +x*O(x^(2*n))); C = 1 + intformal( S*C^8 ) ); (2*n)!*polcoeff(C, 2*n)}
for(n=0, 30, print1(a(n), ", "))
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|