A131501 Xm/CV where Xm is a point of maximum error using an approximation method for x^(1/2) which I have found and CV is the population coefficient of variation from my list of error values.

6, 10, 16, 20, 26, 30, 36, 40, 46, 50

Offset

1,1

Comments

I am no expert at sequences, but my work is forcing me to be. I need only an equation to represent this sequence and I believe I will have completed my goal, as well as found a new approximation technique for square roots. It views them in a whole new way and should prove interesting to more formal mathematicians. This work has taken me 2.5 years and I would appreciate any help in its finalization.

a(n) = A146951(n) for 1 <= n <= 10, but more terms would be needed to justify such a hypothesis. - Georg Fischer, Nov 03 2018

Links

Table of n, a(n) for n=1..10.

Formula

The terms shown satisfy a(n) = 10n-4 if n is odd, a(n) = 10n-10 if n is even. - N. J. A. Sloane, Aug 15 2007

a(n) = 10*n - a(n-1) - 4, a(1)=6. - Vincenzo Librandi, Nov 23 2010

Crossrefs

Cf. A146951.

Sequence in context: A315305 A315306 A299986 * A146951 A315307 A315308

Adjacent sequences: A131498 A131499 A131500 * A131502 A131503 A131504

Keyword

nonn,uned,obsc,more

Author

Anthony J. Browne (tony2theipi(AT)yahoo.com), Aug 13 2007

Status

approved