

A134945


Decimal expansion of 1 + sqrt(5).


6



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

1,1


COMMENTS

If "index" equals (0,2) then this sequence is the decimal expansion of (golden ratio divided by 5 = phi/5 = (1 + sqrt(5))/10). Example: 0.323606797...
Apart from the leading digit the same as A134972, A098317 and A002163.  R. J. Mathar, Aug 06 2013
Length of the longest diagonal in a regular 10gon with unit side.  Mohammed Yaseen, Nov 12 2020


LINKS

Table of n, a(n) for n=1..88.


FORMULA

From Christian Katzmann, Mar 19 2018: (Start)
Equals Sum_{n>=0} (15*(2*n)!+8*n!^2)/(n!^2*3^(2*n+2)).
Equals 1 + Sum_{n>=0} 5*(2*n)!/(n!^2*3^(2*n+1)). (End)
Equals 1/A019827.  R. J. Mathar, Jan 17 2021


EXAMPLE

3.2360679774997896964...


MATHEMATICA

RealDigits[1 + Sqrt[5], 10, 100][[1]] (* Michael De Vlieger, Nov 13 2020 *)


PROG

(PARI) 1 + sqrt(5) \\ Altug Alkan, Mar 19 2018


CROSSREFS

Cf. A002163, A098317, A134972.
Sequence in context: A175717 A051701 A225696 * A256185 A021313 A240162
Adjacent sequences: A134942 A134943 A134944 * A134946 A134947 A134948


KEYWORD

nonn,cons


AUTHOR

Omar E. Pol, Nov 15 2007


EXTENSIONS

More terms from Jinyuan Wang, Mar 30 2020


STATUS

approved



