. . . In continuation to earlier blog

Most of my blog readers might be confused with my earlier blog post.

This post is for them.

Actually 2n factorial formula is much simpler.

They are

And the proof

Above are 10 factorial. 

Finally, at last

I managed to get 2n factorial accurately with (((n+1)(n+2))/2)^n.

Here is the operation in Wolfram Alpha. 

Here is the value of 100!

For finding 1000!, do like below

And the formula is

Happy Diwali to you all, dear blog readers.

A new formula

We all have been adding 1+2, then 1+2+3 and then 1+2+3+4 and so on.

This sort of addition can get us 2n!.

It is a simple formula. But never came across this. I thought, let me make a blog post of this.

That's all folks. Wish you all a happy Diwali !!

( I feel I have made an ancient Greek formula. 😁😁😁)

The new formula can be written as 

The Wolfram screenshots to confirm above 

Have a nice day !!

A new formula

 I observed the following.

Then I posted this formula in MathGPT to verify the correctness. The formula appears to be true for all cases of m, where m >= 1.

Have a nice day !!

Did the Christian Golden ratio came first or the Hindu consecutive numbers?

The Christians believe in golden ratio. The continued fraction, fibonacci series are famous expressions of the golden ratio.

Now I have come up with expressions of golden ratio. These are of consecutive numbers.

We, Hindus never really believed that God made number laws. Christians believe it. At least over internet they claim golden ratio is from the holy bible.

Well, well. To me consecutive numbers are ahead in the race.

Have a good day !!

A nature blessed human

In this blog post, I am outlining some mathematics so that a human being is able to lead a nature blessed life. What is nature blessed life? It is not a technological driven life but a life lead on nature's golden ratio and natural electricity. It is more of nature's positives and negatives than a technological induced positives and negatives. It is about sadness and happiness inside mind happening due to nature laws. The day and night of our lives.

Wallis, Newton,  Taylor and Maclaurin have shaped our lives for centuries.  The human about to take a step in the familiar gravity affected earth.

My blog post is on the above paragraphs.  I have utmost respect for English philosophy and I am deeply involved in Sir Roger Penrose thoughts.

First of all, I would like to say that my binomial which start from 1 (one) are indeed nature blessed.

Secondly, I want to say that humans do compare IQ, strength, contentment and other nature blessed traits. These are of binomial distribution.  And therefore these two expressions are important. 

Thirdly, we compare ourselves with the best. With Einstein, Alon Amit, Gates, Barenghi, Jung Gi etc. And therefore this equation is important. 

The fourth point is about our selection. Our contentment. Our happiness.  Our greed. And therefore the below expression. 

This is how I think. And thought let me share my thoughts. 

Have a nice weekend.  Enjoy your days of weekend  !!