A159467 - OEIS

A159467

Decimal expansion of (129+16*sqrt(2))/127.

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

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OFFSET

1,3

COMMENTS

lim_{n -> infinity} b(n)/b(n-1) = (129+16*sqrt(2))/127 for n mod 3 = {1, 2}, b = A129992.

lim_{n -> infinity} b(n)/b(n-1) = (129+16*sqrt(2))/127 for n mod 3 = {0, 2}, b = A159466.

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..10000

FORMULA

(129+16*sqrt(2))/127 = (16+sqrt(2))/(16-sqrt(2)).

EXAMPLE

(129+16*sqrt(2))/127 = 1.19391666927535055732...

MAPLE

with(MmaTranslator[Mma]): Digits:=100:

RealDigits(evalf((129+16*sqrt(2))/127))[1]; # Muniru A Asiru, Mar 31 2018

MATHEMATICA

RealDigits[(129+16*Sqrt[2])/127, 10, 100][[1]] (* G. C. Greubel, Mar 30 2018 *)

PROG

(PARI) (129+16*sqrt(2))/127 \\ G. C. Greubel, Mar 30 2018

(Magma) (129+16*Sqrt(2))/127 // G. C. Greubel, Mar 30 2018

CROSSREFS

Cf. A129992, A159466, A002193 (decimal expansion of sqrt(2)), A159468 (decimal expansion of (34947+21922*sqrt(2))/127^2).

Sequence in context: A181045 A242815 A155166 * A198608 A273637 A086705

Adjacent sequences: A159464 A159465 A159466 * A159468 A159469 A159470

KEYWORD

cons,nonn

AUTHOR

Klaus Brockhaus, Apr 13 2009

STATUS

approved