id:A155051 - OEIS Search Results

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Expansion of c(x^2)*(1+x)/(1-x), c(x) the g.f. of A000108.

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1, 2, 3, 4, 6, 8, 13, 18, 32, 46, 88, 130, 262, 394, 823, 1252, 2682, 4112, 8974, 13836, 30632, 47428, 106214, 165000, 373012, 581024, 1323924, 2066824, 4741264, 7415704, 17110549, 26805394, 62163064, 97520734, 227165524 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Row sums of A155050.`
	FORMULA	`a(n)=2sum{k=0..n, C(k/2)(1+(-1)^k)/2}-C(n/2)(1+(-1)^n)/2, C(n)=A000108;` `a(n)=(C(n/2)+2sum{k=0..(n/2-1), C(k)})(1+(-1)^n)/2+sum{k=0..n/2, C(k)}(1-(-1)^n), C(n)=A000108.`
	CROSSREFS	`Sequence in context: A094372 A039880 A000029 this_sequence A018137 A084239 A049708` `Adjacent sequences: A155048 A155049 A155050 this_sequence A155052 A155053 A155054`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jan 19 2009`

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.

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