Question

How many ways can a sequence of $1$s be partitioned into pairs or singles?

score 100 · Answer 1 · 2017-05-08 15:25:35

100

Views

How many ways can a sequence of $1$s be partitioned into pairs or singles?

Published on 08 May 2017 - 15:25

score 113 · Answer 2 · 2017-05-10 08:48:41

113

Views

Is this a good reasoning on fractional tetration?

Published on 10 May 2017 - 8:48

score 1.5k · Answer 3 · 2017-05-19 23:59:34

1.5k

Views

A new interesting pattern to $i\uparrow\uparrow n$ that looks cool (and $z\uparrow\uparrow x$ for $z\in\mathbb C,x\in\mathbb R$)

Published on 19 May 2017 - 23:59

score 106 · Answer 4 · 2026-03-24 19:56:29

106

Views

Partial iteration and inverse iteration of $e^x$

Published on 24 Mar 2026 - 19:56

score 1.2k · Answer 5 · 2017-06-03 17:04:43

1.2k

Views

Operational details (Implementation) of Kneser's method of fractional iteration of function $\exp(x)$?

Published on 03 Jun 2017 - 17:04

score 3.3k · Answer 6 · 2026-03-25 18:48:36

3.3k

Views

Ordinal tetration: The issue of ${}^{\epsilon_0}\omega$

Published on 25 Mar 2026 - 18:48

score 244 · Answer 7 · 2026-03-26 03:12:43

244

Views

The solution of $x^x=2$ rational/algebraic irrational/transcendental?

Published on 26 Mar 2026 - 3:12

score 319 · Answer 8 · 2026-03-25 18:47:24

319

Views

Tighter bounds on the fast growing hierarchy?

Published on 25 Mar 2026 - 18:47

score 127 · Answer 9 · 2017-07-18 20:58:35

127

Views

For which $a\in\Bbb R^+$ is $\{1,a, a^a, a^{a^a},...\}$ linearly independent over $\Bbb Z$?

Published on 18 Jul 2017 - 20:58

score 392 · Answer 10 · 2026-03-25 20:42:19

392

Views

Has something like "Knuth's Up-Arrow Factorial Notation" ever been used? If so, what practical uses does it have?

Published on 25 Mar 2026 - 20:42

score 44 · Answer 11 · 2017-08-31 01:42:20

44

Views

"Derivative-like" Operator such that $H(f(x)^{g(x)}) = H(f(x))^{H(g(x))}$

Published on 31 Aug 2017 - 1:42

score 176 · Answer 12 · 2017-09-04 10:39:47

176

Views

Analytically continuing the series exponentially exponential series?

Published on 04 Sep 2017 - 10:39

score 2.3k · Answer 13 · 2026-03-25 18:43:45

2.3k

Views

Pentation Notation - How does it work?

Published on 25 Mar 2026 - 18:43

score 53 · Answer 14 · 2017-09-08 04:08:35

53

Views

Variation of Fermat number, looking for literature on special properties

Published on 08 Sep 2017 - 4:08

score 256 · Answer 15 · 2017-09-20 11:27:53

256

Views

$f ^{\prime \prime}(x) = f(x) f^{\prime \prime} (x-1) $

Published on 20 Sep 2017 - 11:27

List Question

How many ways can a sequence of $1$s be partitioned into pairs or singles?

Is this a good reasoning on fractional tetration?

A new interesting pattern to $i\uparrow\uparrow n$ that looks cool (and $z\uparrow\uparrow x$ for $z\in\mathbb C,x\in\mathbb R$)

Partial iteration and inverse iteration of $e^x$

Operational details (Implementation) of Kneser's method of fractional iteration of function $\exp(x)$?

Ordinal tetration: The issue of ${}^{\epsilon_0}\omega$

The solution of $x^x=2$ rational/algebraic irrational/transcendental?

Tighter bounds on the fast growing hierarchy?

For which $a\in\Bbb R^+$ is $\{1,a, a^a, a^{a^a},...\}$ linearly independent over $\Bbb Z$?

Has something like "Knuth's Up-Arrow Factorial Notation" ever been used? If so, what practical uses does it have?

"Derivative-like" Operator such that $H(f(x)^{g(x)}) = H(f(x))^{H(g(x))}$

Analytically continuing the series exponentially exponential series?

Pentation Notation - How does it work?

Variation of Fermat number, looking for literature on special properties

$f ^{\prime \prime}(x) = f(x) f^{\prime \prime} (x-1) $

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