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 A068768 Generalized Catalan numbers. 1
 1, 1, 12, 150, 1944, 25992, 356832, 5008824, 71629920, 1040509152, 15315578496, 227981324736, 3426473187072, 51929043390720, 792725911280640, 12178706839758720, 188158789025809920, 2921622674591946240 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS a(n)=K(6,6; n)/6 with K(a,b; n) defined in a comment to A068763. LINKS FORMULA a(n)=(6^n)*p(n, -5/6) with the row polynomials p(n, x) defined from array A068763. a(n+1)= 6*sum(a(k)*a(n-k), k=0..n), n>=1, a(0)=1=a(1). G.f.: (1-sqrt(1-24*x*(1-5*x)))/(12*x). CROSSREFS Cf. A000108, A068764-7, A068769-72, A025227-30. Sequence in context: A154733 A056351 A056345 * A053507 A060917 A113358 Adjacent sequences:  A068765 A068766 A068767 * A068769 A068770 A068771 KEYWORD nonn,easy AUTHOR Wolfdieter Lang, Mar 04, 2002 STATUS approved

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