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A042941 Convolution of Catalan numbers A000108 with A038845. 4
1, 13, 110, 765, 4746, 27314, 149052, 781725, 3975730, 19730150, 95973956, 459145778, 2165937060, 10095323460, 46566906872, 212857023069, 965208806082, 4345780250270, 19442667426420, 86489687956518 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Also convolution of A018218(n+1), n >= 0, with A000302 (powers of 4); also convolution of A000346 with A002697.

FORMULA

a(n) = binomial(n+3, 2)*(4^(n+1)-A000984(n+3)/A000984(2))/2, A000984: central binomial coefficients; G.f. c(x)/(1-4*x)^3, where c(x) = g.f. for Catalan numbers.

CROSSREFS

Sequence in context: A163845 A075143 A005769 * A021344 A119744 A099111

Adjacent sequences:  A042938 A042939 A042940 * A042942 A042943 A042944

KEYWORD

easy,nonn

AUTHOR

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

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Last modified February 15 16:39 EST 2012. Contains 205823 sequences.