id:A018218 - OEIS Search Results

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Sum(C(j)*(n-j)*4^(n-j-1),j=0..n-1), C = Catalan numbers.

+0
6

0, 1, 9, 58, 325, 1686, 8330, 39796, 185517, 848830, 3827230, 17053356, 75249954, 329353948, 1431575220, 6185613032, 26589395581, 113780713806, 484945025942, 2059546425340, 8719018250838, 36805967321684 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`a(n)=(n+1)(4^n-binomial(2n+1, n))/2; G.f.: xc(x)/(1-4*x)^2, where c(x) = g.f. for Catalan numbers A000108; also convolution of A000346(n-1), n >= 0, where A000346(-1)=0, with A000302 (powers of 4) - from Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de).`
	CROSSREFS	`Adjacent sequences: A018215 A018216 A018217 this_sequence A018219 A018220 A018221` `Sequence in context: A044528 A027174 A099624 this_sequence A026750 A009034 A026377`
	KEYWORD	`nonn`
	AUTHOR	`njas, Peter Winkler (pw(AT)bell-labs.com)`

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.

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