

A134945


Decimal expansion of 1 + sqrt(5).


4



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
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OFFSET

1,1


COMMENTS

If "index" equal (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


LINKS

Table of n, a(n) for n=1..30.


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)


EXAMPLE

3.2360679774997896964...


PROG

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


CROSSREFS

Sequence in context: A175717 A051701 A225696 * A256185 A021313 A240162
Adjacent sequences: A134942 A134943 A134944 * A134946 A134947 A134948


KEYWORD

cons,nonn,more


AUTHOR

Omar E. Pol, Nov 15 2007


STATUS

approved



