id:A084181 - OEIS Search Results

Search: id:A084181

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2^n+(-2)^n-(-1)^n.

+0
2

1, 1, 7, 1, 31, 1, 127, 1, 511, 1, 2047, 1, 8191, 1, 32767, 1, 131071, 1, 524287, 1, 2097151, 1, 8388607, 1, 33554431, 1, 134217727, 1, 536870911, 1, 2147483647, 1, 8589934591, 1, 34359738367, 1, 137438953471, 1, 549755813887, 1, 2199023255551 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Binomial transform is A084182.`
	FORMULA	`a(n)=2^n+(-2)^n-(-1)^n; G.f.: (1+2x+4x^2)/((1+x)(1+2x)(1-2x)); E.g.f.: exp(2x)-exp(-x)+exp(-2x).`
	CROSSREFS	`Cf. A083420.` `Sequence in context: A053288 A050301 A083994 this_sequence A002678 A050402 A027643` `Adjacent sequences: A084178 A084179 A084180 this_sequence A084182 A084183 A084184`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), May 19 2003`

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.

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