Red, Green, and Blue Tiles
Problem Statement
Using a combination of grey square tiles and oblong tiles chosen from: red tiles (measuring two units), green tiles (measuring three units), and blue tiles (measuring four units), it is possible to tile a row measuring five units in length in exactly fifteen different ways.
How many ways can a row measuring $10^{9 \times 2^N}$ units in length be tiled? Give your answer modulo $1000000007$.
Submit Answers
You need to submit in the format: "N:problem(N)", possibly with multiple values at once, separated by commas, with $N$ between $1$ and $100$.
Top Users
🥇
icy
100.00 (100)
🥈
liuguangxi
100.00 (100)
🥉
shs10978
100.00 (100)
4
hacatu
100.00 (100)
5
pysmirnov
100.00 (100)
Data
Stats
Your submissions will appear here
Recent Submissions
1
pysmirnov
$g(100)$, $9$ digits
3 weeks, 4 days ago
2
pysmirnov
$g(99)$, $9$ digits
3 weeks, 4 days ago
3
pysmirnov
$g(98)$, $9$ digits
3 weeks, 4 days ago
4
pysmirnov
$g(97)$, $9$ digits
3 weeks, 4 days ago
5
pysmirnov
$g(96)$, $9$ digits
3 weeks, 4 days ago