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A296184 Decimal expansion of 2 + phi, with the golden section phi from A001622. 4
3, 6, 1, 8, 0, 3, 3, 9, 8, 8, 7, 4, 9, 8, 9, 4, 8, 4, 8, 2, 0, 4, 5, 8, 6, 8, 3, 4, 3, 6, 5, 6, 3, 8, 1, 1, 7, 7, 2, 0, 3, 0, 9, 1, 7, 9, 8, 0, 5, 7, 6, 2, 8, 6, 2, 1, 3, 5, 4, 4, 8, 6, 2, 2, 7, 0, 5, 2, 6, 0, 4, 6, 2, 8, 1, 8, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

In a regular pentagon, inscribed in a unit circle this equals twice the largest distance between a vertex and a midpoint of a side.

This is an integer in the quadratic number field Q(sqrt(5)).

Only the first digit differs from A001822.

LINKS

Table of n, a(n) for n=1..77.

FORMULA

2 + phi, with phi from A001622.

From Christian Katzmann, Mar 19 2018: (Start)

Equals Sum_{n>=0} (15*(2*n)!+40*n!^2)/(2*n!^2*3^(2*n+2)).

Equals 5/2 + Sum_{n>=0} 5*(2*n)!/(2*n!^2*3^(2*n+1)). (End)

EXAMPLE

3.618033988749894848204586834365638117720309179805762862135448622705260462...

MATHEMATICA

First@ RealDigits[2 + GoldenRatio, 10, 77] (* Michael De Vlieger, Jan 13 2018 *)

PROG

(PARI) (5 + sqrt(5))/2 \\ Altug Alkan, Mar 19 2018

CROSSREFS

Cf. A001622.

Sequence in context: A155830 A096602 A288853 * A083237 A290481 A259501

Adjacent sequences:  A296181 A296182 A296183 * A296185 A296186 A296187

KEYWORD

nonn,cons,easy

AUTHOR

Wolfdieter Lang, Jan 08 2018

STATUS

approved

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Last modified December 4 21:30 EST 2020. Contains 338939 sequences. (Running on oeis4.)