A177838 -id:A177838 - cp's OEIS frontend

A177499 Period 4: repeat [1, 16, 4, 16].

1, 16, 4, 16, 1, 16, 4, 16, 1, 16, 4, 16, 1, 16, 4, 16, 1, 16, 4, 16, 1, 16, 4, 16, 1, 16, 4, 16, 1, 16, 4, 16, 1, 16, 4, 16, 1, 16, 4, 16, 1, 16, 4, 16, 1, 16, 4, 16, 1, 16, 4, 16, 1, 16, 4, 16, 1, 16, 4, 16, 1, 16, 4, 16, 1, 16, 4, 16, 1, 16, 4, 16, 1, 16, 4, 16, 1, 16, 4, 16, 1, 16, 4, 16

Offset: 0

Paul Curtz, May 10 2010

From Klaus Brockhaus, May 14 2010: (Start)
Interleaving of A000012, A010855, A010709 and A010855.
Continued fraction expansion of (44+sqrt(2442))/88. (End)

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

Cf. A010674, A177838. [Klaus Brockhaus, May 14 2010]

Cf. A000012, A010709, A010855, A176895.

&cat[[1, 16, 4, 16]^^26]; // Klaus Brockhaus, May 14 2010

seq(op([1, 16, 4, 16]), n=0..50); # Wesley Ivan Hurt, Jul 09 2016

Table[{1, 16, 4, 16}, {21}] // Flatten (* Jean-François Alcover, May 24 2013 *)

From Klaus Brockhaus, May 14 2010: (Start)
a(n+2) - a(n) = A010674(n).
a(n) = a(n-4) for n > 3.
G.f.: (1+16*x+4*x^2+16*x^3)/(1-x^4). (End)
a(n) = A176895(n)^2. - Paul Curtz, Mar 21 2011
a(n) = (37 - 6*cos(n*Pi/2) - 27*cos(n*Pi) - 27*I*sin(n*Pi))/4. - Wesley Ivan Hurt, Jul 09 2016

A177839 Decimal expansion of sqrt(2442).

Original entry on oeis.org

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

Offset: 2

Klaus Brockhaus, May 14 2010

Continued fraction expansion of sqrt(2442) is 49 followed by (repeat 2, 2, 2, 98).

sqrt(2442) = sqrt(2)*sqrt(3)*sqrt(11)*sqrt(37).

			sqrt(2442) = 49.41659640242334617762...

Daniel Starodubtsev, Table of n, a(n) for n = 2..10000

Cf. A002193 (decimal expansion of sqrt(2)), A002194 (decimal expansion of sqrt(3)), A010468 (decimal expansion of sqrt(11)), A010491 (decimal expansion of sqrt(37)), A177838 (decimal expansion of (44+sqrt(2442))/88).

RealDigits[Sqrt[2442],10,120][[1]] (* Harvey P. Dale, Apr 01 2012 *)

cp's OEIS Frontend

A177499 Period 4: repeat [1, 16, 4, 16].

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