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A099138 6^(n-1)*J(n). 0
0, 1, 6, 108, 1080, 14256, 163296, 2006208, 23794560, 287214336, 3436494336, 41298398208, 495217981440, 5944792559616, 71324450021376, 855971764420608, 10271190988062720, 123257112966660096, 1479068428940476416 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

In general k^(n-1)*J(n) is given by (2k)^n/(3k)-(-k)^n/(3k) with g.f. x/((1+kx)(1-2kx)).

LINKS

Table of n, a(n) for n=0..18.

Index entries for linear recurrences with constant coefficients, signature (6,72).

FORMULA

G.f.: x/((1+6x)(1-12x)); a(n)=6^(n-1)sum{k=0..floor((n-1)/2), binomial(n-k-1, k)2^k}; a(n)=12^n/18-(-6)^n/18; a(n)=6^(n-1)*A001045(n).

CROSSREFS

Cf. A091903, A091904, A080424, A003683.

Sequence in context: A251667 A127213 A129003 * A230540 A295791 A055532

Adjacent sequences:  A099135 A099136 A099137 * A099139 A099140 A099141

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Sep 29 2004

STATUS

approved

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Last modified August 8 14:02 EDT 2020. Contains 336298 sequences. (Running on oeis4.)