A176713 -id:A176713 - cp's OEIS frontend

A176636 Periodic sequence: Repeat [57, 71].

57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57, 71, 57

Offset: 0

Klaus Brockhaus, Apr 22 2010

Continued fraction expansion of (4047+sqrt(16394397))/142.
Inverse binomial transform of 57 followed by 128*A000079.
Third inverse binomial transform of A176635.

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

Cf. A000079 (powers of 2), A176635, A176713 (decimal expansion of (4047+sqrt(16394397))/142).

Magma
```
&cat[ [57, 71]: k in [1..35] ];
```

PadRight[{},100,{57,71}] (* Harvey P. Dale, Jun 18 2014 *)

a(n) = 64-7*(-1)^n.
a(n) = -a(n-1)+128 for n > 0; a(0) = 57.
a(n) = a(n-2) for n > 1; a(0) = 57, a(1) = 71.
G.f.: (57+71*x)/((1-x)*(1+x)).

Comment, crossref and keyword cofr added by Klaus Brockhaus, Apr 24 2010

A176714 Decimal expansion of sqrt(16394397).

Original entry on oeis.org

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

Offset: 4

Klaus Brockhaus, Apr 24 2010

Continued fraction expansion of sqrt(16394397) is 4048 followed by (repeat 1, 2023, 2, 2023, 1, 8096).

sqrt(16394397) = sqrt(3)*sqrt(19)*sqrt(71)*sqrt(4051).

			sqrt(16394397) = 4048.99950605084663055493...

Cf. A002194 (decimal expansion of sqrt(3)), A010475 (decimal expansion of sqrt(19)), A010523 (decimal expansion of sqrt(71)), A176715 (decimal expansion of sqrt(4051)), A176713 (decimal expansion of (4047+sqrt(16394397))/142).

Digits:=100: evalf(sqrt(16394397)); # Wesley Ivan Hurt, Jul 07 2014

RealDigits[Sqrt[16394397], 10, 100, 3] (* Wesley Ivan Hurt, Jul 07 2014 *)

cp's OEIS Frontend

A176636 Periodic sequence: Repeat [57, 71].

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