A094024 - OEIS

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A094024

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

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; refs; listen; history; internal format)

	OFFSET	`0,4`
	COMMENTS	`Inverse binomial transform of A052542. Partial sums are A075427.`
	LINKS	`Vincenzo Librandi, Table of n, a(n) for n = 0..5000`
	FORMULA	`E.g.f.: exp(-x)+2sinh(sqrt(2)x)/sqrt(2)` `a(n) = (-1)^n+((sqrt(2))^n-(-sqrt(2))^n)/sqrt(2).`
	PROG	`(MAGMA) [Ceiling((-1)^n+((Sqrt(2))^n-(-Sqrt(2))^n)/Sqrt(2)): n in [0..50]]; // Vincenzo Librandi, Aug 17 2011`
	CROSSREFS	`Cf. A000129, A016116.` `Sequence in context: A089741 A089736 A205479 * A146430 A146281 A146265` `Adjacent sequences: A094021 A094022 A094023 * A094025 A094026 A094027`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Apr 22 2004`

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Last modified February 16 02:30 EST 2012. Contains 205860 sequences.