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A029887 A sum over scaled A000531 related to Catalan numbers C(n). 4
1, 11, 82, 515, 2934, 15694, 80324, 397923, 1922510, 9105690, 42438076, 195165646, 887516252, 3997537980, 17857602568, 79200753059, 349051186494, 1529735010658, 6670733733260, 28959032959962 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Related to planar maps? - see A000184. - N. J. A. Sloane (njas(AT)research.att.com), Mar 11 2007

FORMULA

a(n) = 4^n*sum(A000531(k+1)/4^k, k=0..n) = (2*n+1)*(2*n+3)*(2*n+5)*C(n)/3-(n+2)*2^(2*n+1); a(n)=4*a(n-1)+A000531(n+1).

G.f. c(x)/(1-4*x)^(5/2) = (2-c(x))/(1-4*x)^3, where c(x) = g.f. for Catalan numbers; also convolution of Catalan numbers with A002802.

CROSSREFS

Cf. A000184, A000531, A000108, A002802.

Sequence in context: A111334 A085879 A197643 * A026871 A123367 A177142

Adjacent sequences:  A029884 A029885 A029886 * A029888 A029889 A029890

KEYWORD

nonn

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)

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Last modified February 14 11:36 EST 2012. Contains 205623 sequences.