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A189893 Recurrence sequence derived from the digits of the square root of 5 after its decimal point. 3

%I

%S 0,4,10,65,173,22,96,15,48,78,13,201,487,594,2719,5146,8719,11530,

%T 15308,76411,76016,42220,67129,45349,170266,255576,457846,865810,

%U 1131083,8045547,7669757

%N Recurrence sequence derived from the digits of the square root of 5 after its decimal point.

%F a(0) = 0; for i >= 0, a(i+1) = position of first occurrence of a(i) in decimal places of sqrt(5).

%e sqrt(5) = 2.2360679774997896964091736687...

%e So for example, with a(0) = 0, a(1) = 4 because the 4th digit after the decimal point is 0; a(2) = 10 because the 10th digit after the decimal point is 4 and so on.

%p with(StringTools): Digits:=10000: G:=convert(evalf(sqrt(5)),string): a[0]:=0: for n from 1 to 17 do a[n]:=Search(convert(a[n-1],string), G)-2:printf("%d, ",a[n-1]):od:

%Y Other recurrence sequences: A097614 for Pi, A098266 for e, A098289 for log(2), A098290 for Zeta(3), A098319 for 1/Pi, A098320 for 1/e, A098321 for gamma, A098322 for G, A098323 for 1/G, A098324 for Golden Ratio (phi), A098325 for sqrt(Pi), A098326 for sqrt(2), A120482 for sqrt(3), A098327 for sqrt(e), A098328 for 2^(1/3).

%K base,nonn,more

%O 0,2

%A _Nathaniel Johnston_, Apr 30 2011

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Last modified November 13 20:57 EST 2019. Contains 329106 sequences. (Running on oeis4.)