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A112698 Partial sum of Catalan numbers A000108 multiplied by powers of 4. 0
1, 5, 37, 357, 3941, 46949, 587621, 7616357, 101332837, 1375876965, 18987759461, 265554114405, 3755416368997, 53610591434597, 771525112379237, 11181285666076517, 163041321978836837, 2390321854565988197 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

a(n)=sum(C(k)*4^k, k=0..n), n>=0, with C(n):=A000108(n).

G.f.: c(4*x)/(1-x), where c(x):=(1-sqrt(1-4*x))/(2*x) is the o.g.f. of Catalan numbers A000108.

CROSSREFS

Fifth column (m=4) of triangle A112705.

Sequence in context: A197713 A004208 A198077 * A025168 A084358 A050351

Adjacent sequences:  A112695 A112696 A112697 * A112699 A112700 A112701

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Oct 31 2005

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Last modified February 14 00:47 EST 2012. Contains 205567 sequences.