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A056026 n^14 = 1 (mod 15^2). 0
1, 26, 199, 224, 226, 251, 424, 449, 451, 476, 649, 674, 676, 701, 874, 899, 901, 926, 1099, 1124, 1126, 1151, 1324, 1349, 1351, 1376, 1549, 1574, 1576, 1601, 1774, 1799, 1801, 1826, 1999, 2024, 2026, 2051, 2224, 2249, 2251, 2276, 2449, 2474, 2476, 2501 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Numbers congruent to {1, 26, 129, 224} mod 225.

LINKS

Table of n, a(n) for n=1..46.

Index to sequences with linear recurrences with constant coefficients, signature (1,0,0,1,-1).

FORMULA

G.f. x*(1+25*x+173*x^2+25*x^3+x^4)  / ( (1+x)*(1+x^2)*(x-1)^2 ). - R. J. Mathar, Oct 25 2011

a(1)=1, a(2)=26, a(3)=199, a(4)=224, a(5)=226, a(n)=a(n-1)+a(n-4)-a(n-5) [From Harvey P. Dale, Nov 11 2011]

MATHEMATICA

Select[ Range[ 3000 ], PowerMod[ #, 14, 225 ]==1& ]

LinearRecurrence[{1, 0, 0, 1, -1}, {1, 26, 199, 224, 226}, 50] (* From Harvey P. Dale, Nov 11 2011 *)

CROSSREFS

Sequence in context: A042312 A181342 A090960 * A159762 A100242 A042310

Adjacent sequences:  A056023 A056024 A056025 * A056027 A056028 A056029

KEYWORD

nonn

AUTHOR

Robert G. Wilson v, Jun 08 2000

STATUS

approved

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Last modified May 22 23:20 EDT 2013. Contains 225585 sequences.