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A101600 G.f.: c(3x)^2, c(x) the g.f. of A000108. +0
3
1, 6, 45, 378, 3402, 32076, 312741, 3127410, 31899582, 330595668, 3471254514, 36848701764, 394807518900, 4263921204120, 46370143094805, 507343918566690, 5580783104233590, 61682339573108100, 684673969261499910 (list; graph; listen)
OFFSET

0,2

FORMULA

G.f.: 4/(1+sqrt(1-12x))^2; a(n)=3^n*C(n+1).

MAPLE

Z[0]:=1: for k to 30 do Z[k]:=simplify(1/(1-3*z*Z[k-1])) od: g:=sum((Z[j]-Z[j-1]), j=1..30): gser:=series(g, z=0, 27): seq(coeff(gser, z, n)/3, n=1..19); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 21 2008

CROSSREFS

Cf. A050159, A101601, A101602.

Sequence in context: A007193 A007194 A025551 this_sequence A135148 A137974 A001879

Adjacent sequences: A101597 A101598 A101599 this_sequence A101601 A101602 A101603

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Dec 08 2004

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Last modified November 30 22:12 EST 2008. Contains 150989 sequences.


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