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A297701 Decimal expansion of 1 + sqrt(2) + sqrt(3). 1
4, 1, 4, 6, 2, 6, 4, 3, 6, 9, 9, 4, 1, 9, 7, 2, 3, 4, 2, 3, 2, 9, 1, 3, 5, 0, 6, 5, 7, 1, 5, 5, 7, 0, 4, 4, 5, 5, 1, 2, 4, 7, 7, 1, 2, 9, 1, 8, 7, 3, 2, 8, 7, 0, 1, 2, 3, 2, 4, 8, 6, 7, 1, 7, 4, 4, 2, 6, 6, 5, 4, 9, 5, 3, 7, 0, 9, 0, 7, 0, 7, 5, 9, 3, 1, 5, 3, 3, 7, 2, 1, 0, 8, 4, 8, 9, 0, 1, 4, 8, 4, 1, 0, 6, 3, 9, 9, 8, 7, 6, 4, 6, 3, 1, 9, 0, 0, 0, 0, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

This is an algebraic integer of degree 4, with minimal polynomial x^4 - 4*x^3 - 4*x^2 + 16*x - 8.

LINKS

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

FORMULA

1 + sqrt(2) + sqrt(3) = 1 + sqrt(5 + 2 sqrt(6)).

1 + A002193 + A002194 = A014176 + A002194 = A165663 + A188582. - Felix Fröhlich, Jan 06 2018

EXAMPLE

  1.0000000000000000000000000000...

+ 1.4142135623730950488016887242...

+ 1.7320508075688772935274463415...

= 4.1462643699419723423291350657...

MATHEMATICA

RealDigits[1 + Sqrt[2] + Sqrt[3], 10, 100][[1]]

PROG

(PARI) 1+sqrt(2)+sqrt(3) \\ Felix Fröhlich, Jan 06 2018

(MAGMA) SetDefaultRealField(RealField(100)); 1 + Sqrt(2) + Sqrt(3); // G. C. Greubel, Nov 20 2018

(Sage) numerical_approx(1+sqrt(2)+sqrt(3), digits=100) # G. C. Greubel, Nov 20 2018

CROSSREFS

Cf. A002193, A002194, A014176, A135611, A165663, A188582.

Sequence in context: A302151 A167431 A205848 * A110361 A193750 A092856

Adjacent sequences:  A297698 A297699 A297700 * A297702 A297703 A297704

KEYWORD

nonn,cons,easy

AUTHOR

Alonso del Arte, Jan 03 2018

EXTENSIONS

Terms a(52) onward corrected by G. C. Greubel, Nov 20 2018

STATUS

approved

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Last modified January 28 13:34 EST 2022. Contains 350656 sequences. (Running on oeis4.)