30100
domain: N
Appears in sequences
- Number of compositions of n into 5 ordered relatively prime parts.at n=27A000743
- Squares written in base 4.at n=28A001739
- Multiples of 4 whose digits add to 4.at n=23A063997
- Full Łukasiewicz word for each rooted plane tree (interpretation e in Stanley's exercise 19) encoded by A014486 (or A063171).at n=11A079436
- Numbers k such that k and k^2 use only the digits 0, 1, 3, 6 and 9.at n=57A136850
- Numbers k divisible respectively by the sum of digits, the sum of the squares and the sum of the cubes of digits in base 10 of k.at n=34A169664
- Sequence defined by the recurrence formula a(n+1)=sum(a(p)*a(n-p)+k,p=0..n)+l for n>=1, with here a(0)=1, a(1)=6, k=-1 and l=-1.at n=7A177181
- Nonnegative integers whose English number-words have the identical number of letters contributing to each represented letter-frequency.at n=62A216163
- Numbers n which are both happy (A007770) and bihappy (A257795) numbers.at n=35A257950
- Number of classes of endofunctions of [n] under rotation, complement to n+1 and reversal.at n=7A275558
- Intersection of A003052 and A283002.at n=38A283003
- "Inside numbers". Pick a term "t" and one of its digits "d". Now jump to the right over d digits if "d" is odd, and to the left over d digits if "d" is even. Whatever the "d" you choose, you will stay on "t".at n=25A284515
- Numbers k such that digit sum of k = number of distinct prime factors of k.at n=27A285494
- a(n) = 2*(3*n+1)*(9*n+8).at n=23A304506
- a(n) = 2*Sum_{k=0..n-1} binomial(n,k)^2*binomial(n,k+1)^2.at n=4A334237
- Numbers k for which A003415(k) >= A276086(k) > k, where A003415 is the arithmetic derivative and A276086 is the primorial base exp-function.at n=12A351229
- Irregular triangle read by rows: row n lists all of the distinct derivable strings in the MIU formal system that are n characters long.at n=13A369173
- Numbers k such that (A276086(k)/s)^s >= k^(s-1) and A276086(k) <= A003415(k), where A003415 is the arithmetic derivative, A276086 is the primorial base exp-function, and s = bigomega(k).at n=34A370128
- Numbers that are divisible by the square of the sum of the squares of their digits.at n=27A379980
- Numbers k such that A322582(k) <= A276086(k) <= A348507(k).at n=38A392602