A140529 - OEIS

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A140529

a(n) = 6*4^n - 1.

5, 23, 95, 383, 1535, 6143, 24575, 98303, 393215, 1572863, 6291455, 25165823, 100663295, 402653183, 1610612735, 6442450943, 25769803775, 103079215103, 412316860415, 1649267441663, 6597069766655, 26388279066623, 105553116266495 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,1`
	LINKS	`Vincenzo Librandi, Table of n, a(n) for n = 0..1000` `Index entries for linear recurrences with constant coefficients, signature (5,-4).`
	FORMULA	`a(n) = 4a(n-1) + 3, a(0)=5.` `a(n) = A002023(n) - 1 = A000302(n+1) + A083420(n).` `G.f.: ( 5-2x ) / ( (4x-1)(x-1) ). - R. J. Mathar, Jul 08 2022`
	MATHEMATICA	`NestList[4#+3&, 5, 30] (* Harvey P. Dale, Jan 14 2022 *)`
	PROG	`(Magma) [6*4^n-1: n in [0..30]]; // Vincenzo Librandi, Aug 08 2011`
	CROSSREFS	`Cf. A028894.` `Sequence in context: A146013 A028894 A254824 * A055489 A109765 A323922` `Adjacent sequences: A140526 A140527 A140528 * A140530 A140531 A140532`
	KEYWORD	`nonn,easy`
	AUTHOR	`Paul Curtz, Jul 03 2008`
	STATUS	`approved`

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Last modified December 10 09:31 EST 2023. Contains 367710 sequences. (Running on oeis4.)