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Search: id:A136393
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A136393 a(n) = C(3^n,n). +0
5
1, 3, 36, 2925, 1663740, 6774333588, 204208594169580, 47025847059877940202, 84798009611754271531960140, 1219731290030242386267605060168700, 141916030352038369973126553950792759280336 (list; graph; listen)
OFFSET

0,2

FORMULA

G.f.: A(x) = Sum_{n>=0} log(1 + 3^n*x)^n / n!.

PROGRAM

(PARI) a(n)=binomial(3^n, n) (PARI) /* G.f. A(x) as Sum of Series: */ {a(n)=polcoeff(sum(k=0, n, log(1+3^k*x +x*O(x^n))^k/k!), n)}

CROSSREFS

Cf. A014070 (C(2^n, n)).

Adjacent sequences: A136390 A136391 A136392 this_sequence A136394 A136395 A136396

Sequence in context: A126447 A102921 A102579 this_sequence A088322 A080807 A006268

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Dec 28 2007

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Last modified October 12 14:39 EDT 2008. Contains 144830 sequences.


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