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Search: id:A145167
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| A145167 |
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G.f. A(x) satisfies A(x/A(x)^6) = 1/(1-x). |
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+0
8
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| 1, 1, 7, 106, 2349, 65078, 2093770, 75175383, 2941004409, 123442051582, 5500018250128, 258162075155942, 12693904947530988, 651028563908092621, 34708995997762871047, 1918449419812267920842, 109690826250327197055475
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OFFSET
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0,3
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FORMULA
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G.f. satisfies: 1 - 1/A(x) = x*A( 1 - 1/A(x) )^6.
Self-convolution square yields A145168.
Self-convolution cube yields A145169.
Self-convolution 6-th power yields A145170.
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PROGRAM
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(PARI) {a(n)=local(A=1+x+x*O(x^n), B); for(n=0, n, B=serreverse(x/A^6); A=1/(1-B)); polcoeff(A, n)}
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CROSSREFS
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Cf. A145168 (A^2), A145169 (A^3), A145170 (A^6); A088713, A145158, A145160, A145162, A145165.
Adjacent sequences: A145164 A145165 A145166 this_sequence A145168 A145169 A145170
Sequence in context: A096131 A049210 A002486 this_sequence A141358 A141362 A075021
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Oct 03 2008
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