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A281444
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E.g.f. C(x) satisfies: C(x) = cosh( Integral C(x)^8 dx ).
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1
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1, 1, 33, 3393, 715329, 255419649, 138324673377, 105723078203457, 108400924932329601, 143589514674637260801, 238670525628280806487713, 486411018516606613409744193, 1192731112687557517714202303169, 3464267964203640308372312350830849, 11761665286319167564660531957187772897, 46153563625764407361666349419808431496257, 207288280492672493893642973836751374267592961
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OFFSET
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0,3
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LINKS
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Table of n, a(n) for n=0..16.
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FORMULA
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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.
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PROG
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(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), ", "))
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CROSSREFS
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Sequence in context: A136541 A263105 A284072 * A242019 A305140 A282374
Adjacent sequences: A281441 A281442 A281443 * A281445 A281446 A281447
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna, Jan 21 2017
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STATUS
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approved
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