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A281436 E.g.f. C(x) satisfies: C(x) = cosh( Integral C(x)^6 dx ). 1

%I #5 May 21 2017 07:49:11

%S 1,1,25,1921,301105,79715041,31953352585,18055521444961,

%T 13675020394100065,13371875150000047681,16399205085221871057145,

%U 24649278939856374854251201,44562940283889239727355265425,95400484808911059939339873215521,238677467614161144737008148697894505,690019785744332320572996561216607892641,2282793490173453501140213827073151244641985

%N E.g.f. C(x) satisfies: C(x) = cosh( Integral C(x)^6 dx ).

%F 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.

%o (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)}

%o for(n=0, 30, print1(a(n), ", "))

%K nonn

%O 0,3

%A _Paul D. Hanna_, Jan 21 2017

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Last modified March 28 07:48 EDT 2024. Contains 371235 sequences. (Running on oeis4.)