A176908 -id:A176908 - cp's OEIS frontend

A176910 Decimal expansion of sqrt(145).

1, 2, 0, 4, 1, 5, 9, 4, 5, 7, 8, 7, 9, 2, 2, 9, 5, 4, 8, 0, 1, 2, 8, 2, 4, 1, 0, 3, 0, 3, 7, 8, 6, 0, 8, 0, 5, 2, 4, 2, 5, 3, 5, 2, 4, 0, 5, 0, 5, 3, 8, 3, 3, 9, 5, 2, 0, 7, 2, 4, 3, 3, 3, 2, 4, 5, 2, 6, 4, 9, 3, 1, 5, 3, 5, 6, 5, 8, 0, 6, 5, 4, 7, 4, 5, 7, 9, 9, 7, 1, 4, 3, 6, 9, 0, 9, 4, 9, 4, 2, 2, 8, 2, 1, 8

Offset: 2

Klaus Brockhaus, Apr 28 2010

Continued fraction expansion of sqrt(145) is 12 followed by A010863.

			sqrt(145) = 12.04159457879229548012...

Index entries for algebraic numbers, degree 2.

Cf. A002163 (decimal expansion of sqrt(5)), Cf. A010484 (decimal expansion of sqrt(29)), A176907 (decimal expansion of (9+sqrt(145))/16), A176908 (decimal expansion of (7+sqrt(145))/16), A010863 (all 24's sequence).

RealDigits[Sqrt[145],10,120][[1]] (* Harvey P. Dale, Oct 15 2023 *)

A130794 Periodic sequence with period 1,5,3.

Original entry on oeis.org

1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1, 5, 3, 1

Offset: 0

Paul Curtz, Jul 15 2007

Continued fraction expansion of (7+sqrt(145))/16. - Klaus Brockhaus, Apr 28 2010
Decimal expansion of 17/111. - R. J. Mathar, Aug 05 2013
This is also the periodic unsigned Schick sequence for 7. See the Schick reference, p. 158 for p = 7 (the row labels should there be q_j, j >= 0). - Wolfdieter Lang, Apr 03 2020

Carl Schick, Trigonometrie und unterhaltsame Zahlentheorie, Bokos Druck, Zürich, 2003 (ISBN 3-9522917-0-6). Tables 3.1 to 3.10, for odd p = 3..113 (with gaps), pp. 158-166. Here p = 7.

Index entries for linear recurrences with constant coefficients, signature (0,0,1).

Cf. A176908 (decimal expansion of (7+sqrt(145))/16). - Klaus Brockhaus, Apr 28 2010

A130794:=n->5 - 2 * ((n+2) mod 3); seq(A130794(n), n=0..100); # Wesley Ivan Hurt, Mar 15 2014

Table[5 - 2 Mod[n + 2, 3], {n, 0, 100}] (* Wesley Ivan Hurt, Mar 15 2014 *)
PadRight[{},120,{1,5,3}] (* Harvey P. Dale, Jun 15 2019 *)

a(n)=[1,5,3][n%3+1] \\ Charles R Greathouse IV, Jun 02 2011

G.f.: ( -1-5*x-3*x^2 ) / ( (x-1)*(1+x+x^2) ). - R. J. Mathar, Aug 05 2013

a(n) = 5 - 2 * mod(n+2,3). - Wesley Ivan Hurt, Mar 15 2014

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A176910 Decimal expansion of sqrt(145).

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A130794 Periodic sequence with period 1,5,3.

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