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A198806
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Number of closed paths of length n whose steps are 14th roots of unity, U_14(n).
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1
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1, 0, 14, 0, 546, 0, 32900, 10080, 2570050, 2540160, 238935564, 465696000, 25142196156, 76886409600, 2900343069624, 12211317518400, 359067702643650, 1915829643087360, 47006105030584700, 300455419743198720, 6437718469449262996
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OFFSET
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0,3
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COMMENTS
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U_14(n), (comment in article): For each m >= 1, the sequence (U_m(N)), N >= 0 is P-recursive but is not algebraic when m > 2.
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LINKS
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FORMULA
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E.g.f.: BesselI(0,2*x)^7 + 2*Sum_{k>=1} BesselI(k,2*x)^7. - Andrew Howroyd, Nov 01 2018
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PROG
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(PARI) seq(n)={Vec(serlaplace(sum(k=0, n, if(k, 2, 1)*(x^k*besseli(k, 2*x + O(x^(n-k+1)))/k!)^7)))} \\ Andrew Howroyd, Nov 01 2018
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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