OFFSET
3,1
COMMENTS
A square of side a(n) has a(n+1) as integer part of its diagonal. - Robert G. Wilson v, Mar 03 2005
Starting the sequence with 0, 1 or 2 would be rather dull.
LINKS
Harvey P. Dale, Table of n, a(n) for n = 3..1000
FORMULA
a(n) ~ c * 2^(n/2), where c = 0.6418844655639201638151389885559421955356352362161057500685561808252532289075... - Vaclav Kotesovec, May 23 2021
EXAMPLE
A 3 X 3 square has a diagonal of 4.242640687119285...; the integer part is "4";
a 4 X 4 square has a diagonal of 5.656854249492381...; the integer part is "5";
a 5 X 5 square has a diagonal of 7.071067811865475...; the integer part is "7";
a 7 X 7 square has a diagonal of 9.899494936611665...; the integer part is "9"; etc.
MATHEMATICA
NestList[ Function[x, IntegerPart[ Sqrt[ 2x^2]]], 3, 30] (* Robert G. Wilson v, Mar 03 2005 *)
NestList[IntegerPart[Sqrt[2#^2]]&, 3, 50] (* Harvey P. Dale, Mar 20 2018 *)
CROSSREFS
KEYWORD
base,easy,nonn
AUTHOR
Eric Angelini, Feb 27 2005
EXTENSIONS
More terms from Robert G. Wilson v, Mar 03 2005
STATUS
approved