Question

Different sidewalks that can be laid using n $1 \times 1$ square white, blue and red tiles so that no two red tiles lie next to each other?

score 74 · Answer 1 · 2026-04-15 08:01:06

74

Views

Different sidewalks that can be laid using n $1 \times 1$ square white, blue and red tiles so that no two red tiles lie next to each other?

Published on 15 Apr 2026 - 8:01

score 23 · Answer 2 · 2026-04-14 16:59:17

23

Views

One-step vectorial recurrence into multi-step scalar recurrence on commutative rings with boundary conditions

Published on 14 Apr 2026 - 16:59

score 98 · Answer 3 · 2026-04-10 23:00:58

98

Views

Asymptotic growth of recurrence

Published on 10 Apr 2026 - 23:00

score 82 · Answer 4 · 2026-04-11 13:03:20

82

Views

Homogeneous and inhomogeneous recurrences for a sequence

Published on 11 Apr 2026 - 13:03

score 96 · Answer 5 · 2026-04-14 12:41:40

96

Views

How many ways can 100 people sit in an auditorium given certain constraint

Published on 14 Apr 2026 - 12:41

score 54 · Answer 6 · 2026-04-14 03:58:26

54

Views

Finding an explicit formula (depending only on $n$) describing the number of American missiles in the $n$th year of the Cold War.

Published on 14 Apr 2026 - 3:58

score 95 · Answer 7 · 2026-04-15 07:08:47

95

Views

Log-secant integral using exponential generating function $\int_0^{\pi/2}\log^n(\sec^2 x)\ dx$

Published on 15 Apr 2026 - 7:08

score 271 · Answer 8 · 2026-04-11 10:25:06

271

Views

Printing neatly

Published on 11 Apr 2026 - 10:25

score 147 · Answer 9 · 2026-04-10 08:05:36

147

Views

Symmetric random walk: prove recurrence

Published on 10 Apr 2026 - 8:05

score 52 · Answer 10 · 2026-04-10 11:56:10

52

Views

Generating function from the recursive equation.

Published on 10 Apr 2026 - 11:56

score 39 · Answer 11 · 2026-04-16 08:17:18

39

Views

Solution of the functional equation $f\left( x,\, y \right)=x^{f(x,\,y-1)}\wedge\{x,\,y,\,f( x,\, y)\}\in\mathbb{C}$ and $x\ne0$

Published on 16 Apr 2026 - 8:17

score 52 · Answer 12 · 2026-04-12 11:08:15

52

Views

Generating function relation from the recursive equation.

Published on 12 Apr 2026 - 11:08

score 32 · Answer 13 · 2026-03-25 22:25:14

32

Views

Piecewise function outputs the sum of the digits in base 3 representation

Published on 25 Mar 2026 - 22:25

score 264 · Answer 14 · 2026-04-16 13:51:48

264

Views

Number of words where each letter is adjacent to the same letter.

Published on 16 Apr 2026 - 13:51

score 203 · Answer 15 · 2026-04-13 00:54:16

203

Views

How do I combine 2 recursive functions into a single one?

Published on 13 Apr 2026 - 0:54

List Question

Different sidewalks that can be laid using n $1 \times 1$ square white, blue and red tiles so that no two red tiles lie next to each other?

One-step vectorial recurrence into multi-step scalar recurrence on commutative rings with boundary conditions

Asymptotic growth of recurrence

Homogeneous and inhomogeneous recurrences for a sequence

How many ways can 100 people sit in an auditorium given certain constraint

Finding an explicit formula (depending only on $n$) describing the number of American missiles in the $n$th year of the Cold War.

Log-secant integral using exponential generating function $\int_0^{\pi/2}\log^n(\sec^2 x)\ dx$

Printing neatly

Symmetric random walk: prove recurrence

Generating function from the recursive equation.

Solution of the functional equation $f\left( x,\, y \right)=x^{f(x,\,y-1)}\wedge\{x,\,y,\,f( x,\, y)\}\in\mathbb{C}$ and $x\ne0$

Generating function relation from the recursive equation.

Piecewise function outputs the sum of the digits in base 3 representation

Number of words where each letter is adjacent to the same letter.

How do I combine 2 recursive functions into a single one?

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