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A115134 Third diagonal sequence of triangle A115127. 1
10, 30, 95, 311, 1043, 3564, 12363, 43420, 154088, 551684, 1990326, 7228417, 26405725, 96961560, 357688755, 1324982160, 4926502020, 18379785300, 68783559810, 258141170430, 971310800694, 3663524817768, 13848466284350 (list; graph; refs; listen; history; internal format)
OFFSET

4,1

FORMULA

G.f. -(1+x^2+4*x^3) + (1-x+x^3)*c(x) with the g.f. c(x):=(1-sqrt(1-4*x))/(2*x) of A000108 (Catalan).

CROSSREFS

Cf. A071726 (second diagonal of A115127 for n>=3 with g.f. -(1+x+3*x^2)+(1+x^2)*c(x)).

Sequence in context: A034127 A005052 A057344 * A185829 A098684 A064012

Adjacent sequences:  A115131 A115132 A115133 * A115135 A115136 A115137

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Jan 13 2006

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Last modified February 16 08:07 EST 2012. Contains 205886 sequences.