id:A094024 - OEIS Search Results

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Expansion of (1+2x)/((1+x)(1-2x^2)).

+0
3

1, 1, 1, 3, 1, 7, 1, 15, 1, 31, 1, 63, 1, 127, 1, 255, 1, 511, 1, 1023, 1, 2047, 1, 4095, 1, 8191, 1, 16383, 1, 32767, 1, 65535, 1, 131071, 1, 262143, 1, 524287, 1, 1048575, 1, 2097151, 1, 4194303, 1, 8388607, 1, 16777215, 1, 33554431, 1, 67108863, 1 (list; graph; listen)

	OFFSET	`0,4`
	COMMENT	`Inverse binomial transform of A052542. Partial sums are A075427.`
	FORMULA	`E.g.f. : exp(-x)+2sinh(sqrt(2)x)/sqrt(2); a(n)=(-1)^n+((sqrt(2))^n-(-sqrt(2))^n)/sqrt(2).`
	CROSSREFS	`Cf. A000129, A016116.` `Sequence in context: A114712 A089741 A089736 this_sequence A061782 A074625 A091724` `Adjacent sequences: A094021 A094022 A094023 this_sequence A094025 A094026 A094027`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Apr 22 2004`

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Last modified July 23 17:35 EDT 2008. Contains 142285 sequences.

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