|
|
A281436
|
|
E.g.f. C(x) satisfies: C(x) = cosh( Integral C(x)^6 dx ).
|
|
1
|
|
|
1, 1, 25, 1921, 301105, 79715041, 31953352585, 18055521444961, 13675020394100065, 13371875150000047681, 16399205085221871057145, 24649278939856374854251201, 44562940283889239727355265425, 95400484808911059939339873215521, 238677467614161144737008148697894505, 690019785744332320572996561216607892641, 2282793490173453501140213827073151244641985
(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)^6*S(x) dx, where S(x) is described by A281435.
|
|
PROG
|
(PARI) {a(n) = my(S=x, C=1); for(i=0, n, S = intformal( C^7 +x*O(x^(2*n))); C = 1 + intformal( S*C^6 ) ); (2*n)!*polcoeff(C, 2*n)}
for(n=0, 30, print1(a(n), ", "))
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|