A136393 - OEIS

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A136393

a(n) = C(3^n,n).

1, 3, 36, 2925, 1663740, 6774333588, 204208594169580, 47025847059877940202, 84798009611754271531960140, 1219731290030242386267605060168700, 141916030352038369973126553950792759280336 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	FORMULA	`G.f.: A(x) = Sum_{n>=0} log(1 + 3^n*x)^n / n!.`
	PROG	`(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^kx +x*O(x^n))^k/k!), n)}`
	CROSSREFS	`Cf. A014070 (C(2^n, n)).` `Sequence in context: A102921 A193302 A102579 * A168370 A158093 A163966` `Adjacent sequences: A136390 A136391 A136392 * A136394 A136395 A136396`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Dec 28 2007`

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Last modified February 15 21:45 EST 2012. Contains 205860 sequences.