A042941 - OEIS

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A042941

Convolution of Catalan numbers A000108 with A038845.

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)/(1-4x)^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.