A159008 - OEIS

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A159008

Positive numbers n such that n^2 == 2 (mod 89).

25, 64, 114, 153, 203, 242, 292, 331, 381, 420, 470, 509, 559, 598, 648, 687, 737, 776, 826, 865, 915, 954, 1004, 1043, 1093, 1132, 1182, 1221, 1271, 1310, 1360, 1399, 1449, 1488, 1538, 1577, 1627, 1666, 1716, 1755, 1805, 1844, 1894, 1933, 1983, 2022, 2072 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	LINKS	`Index entries for sequences related to linear recurrences with constant coefficients, signature (1,1,-1).`
	FORMULA	`a(n) = a(n-1)+a(n-2)-a(n-3). G.f.: x(25+39x+25x^2)/((1+x)(x-1)^2).` `a(n) = (89+11(-1)^(n-1)+178(n-1))/4.`
	CROSSREFS	`Cf. A159007 (mod 73).` `Sequence in context: A166873 A103645 A061970 * A183373 A120961 A050993` `Adjacent sequences: A159005 A159006 A159007 * A159009 A159010 A159011`
	KEYWORD	`nonn,easy`
	AUTHOR	`Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Jun 30 2009`
	EXTENSIONS	`Slightly edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 26 2009`

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Last modified February 17 00:09 EST 2012. Contains 205978 sequences.