A120482 Recurrence sequence derived from the digits of the square root of 3 after its decimal point.

0, 4, 22, 215, 2737, 8636, 20805, 38867, 1868, 6505, 5767, 1004, 1216, 11702, 55995, 43202, 314308, 2100749, 2420235, 7750204, 5141127, 2950527, 3113789, 42198, 119161, 96031, 77643, 10695, 105061, 37099, 176209, 3390478, 4549989, 9038843

Offset

0,2

Links

Table of n, a(n) for n=0..33.

Formula

a(0) = 0; for i >= 0, a(i+1) = position of first occurrence of a(i) in decimal places of sqrt(3).

Example

sqrt(3) = 1.73205080756887729352744634151...
So for example, with a(0) = 0, a(1) = 4 because the 4th digit after the decimal point is 0; a(2) = 22 because the 22nd digit after the decimal point is 4 and so on.

Maple

with(StringTools): Digits:=10000: G:=convert(evalf(sqrt(3)), string): a[0]:=0: for n from 1 to 6 do a[n]:=Search(convert(a[n-1], string), G)-2:printf("%d, ", a[n-1]):od: # Nathaniel Johnston, Apr 30 2011

Crossrefs

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), A189893 for sqrt(5), A098327 for sqrt(e), A098328 for 2^(1/3).

Sequence in context: A063380 A113385 A356285 * A207156 A197999 A197963

Adjacent sequences: A120479 A120480 A120481 * A120483 A120484 A120485

Keyword

base,nonn

Author

Ryan Propper, Jul 21 2006

Status

approved