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A110185 Coefficients of x in the partial quotients of the continued fraction expansion exp(1/x) = [1, x - 1/2, 12*x, 5*x, 28*x, 9*x, 44*x, 13*x, ...]. The partial quotients all have the form a(n)*x except the constant term of 1 and the initial partial quotient which equals (x - 1/2). +0
1
0, 1, 12, 5, 28, 9, 44, 13, 60, 17, 76, 21, 92, 25, 108, 29, 124, 33, 140, 37, 156, 41, 172, 45, 188, 49, 204, 53, 220, 57, 236, 61, 252, 65, 268, 69, 284, 73, 300, 77, 316, 81, 332, 85, 348, 89, 364, 93, 380, 97, 396, 101, 412, 105, 428, 109, 444, 113, 460, 117, 476 (list; graph; listen)
OFFSET

0,3

FORMULA

G.f.: x*[(1+3*x^2) + 4*x*(3+x^2)]/(1-x^2)^2 = Sum_{n>=0} a(n)*x^n.

PROGRAM

(PARI) a(n)=polcoeff(x*(1+12*x+3*x^2+4*x^3)/(1-x^2)^2+x*O(x^n), n)

CROSSREFS

Sequence in context: A002679 A133208 A122561 this_sequence A038331 A028578 A013680

Adjacent sequences: A110182 A110183 A110184 this_sequence A110186 A110187 A110188

KEYWORD

cofr,nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Jul 14 2005

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Last modified August 28 11:49 EDT 2008. Contains 143094 sequences.


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