

A113282


Logarithmic derivative of the g.f. of A113281.


4



1, 5, 7, 17, 41, 101, 239, 577, 1393, 3365, 8119, 19601, 47321, 114245, 275807, 665857, 1607521, 3880901, 9369319, 22619537, 54608393, 131836325, 318281039, 768398401, 1855077841, 4478554085, 10812186007, 26102926097, 63018038201
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OFFSET

0,2


LINKS

Table of n, a(n) for n=0..28.


FORMULA

G.f.: (1+x^2)/(1x^2)/(12*xx^2) + x*(3+x^2)/(1x^4). a(2*n) = A113224(2*n), a(4*n+1) = 3 + A113224(4*n+1), a(4*n+3) = 1 + A113224(4*n+3), where A113224 is the selfconvolution of A113281.
a(n) ~ (1 + sqrt(2))^(n+1) / 2.  Vaclav Kotesovec, Oct 18 2020


PROG

(PARI) {a(n)=local(x=X+X*O(X^n)); polcoeff((1+x^2)/(1x^2)/(12*xx^2) + x*(3+x^2)/(1x^4), n, X)}


CROSSREFS

Cf. A113281, A113283, A113284.
Sequence in context: A318568 A239414 A163570 * A323200 A096741 A106955
Adjacent sequences: A113279 A113280 A113281 * A113283 A113284 A113285


KEYWORD

nonn


AUTHOR

Paul D. Hanna, Oct 22 2005


STATUS

approved



