71820
domain: N
Appears in sequences
- Expansion of 1/((1-x)^3 (1-x^2)^2 (1-x^3) (1-x^4)).at n=30A002626
- E.g.f.: cos(log(x+1)-arcsinh(x))=1-3/4!*x^4+30/5!*x^5-180/6!*x^6+945/7!*x^7...at n=9A013274
- a(n) = n*(n + 1)*(n + 2)*(n + 3)/2.at n=18A033486
- Sums of consecutive noncubes.at n=7A048396
- Smallest number whose set of divisors contains each digit 0-9 at least n times.at n=17A059436
- Smallest number whose set of divisors contains each digit 0-9 at least n times.at n=18A059436
- Smallest number whose set of divisors contains each digit 0-9 at least n times.at n=19A059436
- Even legs of Pythagorean triangles whose other leg and hypotenuse are both prime.at n=16A067755
- Smallest number that requires n iterations of the sum of digits of the divisors (A034690) to reach 15.at n=21A094501
- n sets a new record for number of iterations of A034690 (sum of digits of the divisors of n) needed to reach 15 (see A086793).at n=11A095347
- a(n) = C(1+n,1) * C(2+n,1) * C(4+n,2).at n=17A112415
- Numbers taking exactly 21 steps to reach 15 in A086793.at n=0A119397
- Pythagorean triangle side lengths triples with two lengths prime.at n=48A140391
- Triangle T, read by rows, where the matrix square T^2 results in shifting T right one column to drop the secondary diagonal.at n=47A152391
- Column 2 of triangle A152391.at n=7A152394
- Numbers with prime factorization p*q*r*s^2*t^3 (where p, q, r, s, t are distinct primes).at n=14A190111
- Number of (w,x,y,z) with all terms in {1,...,n} and w>=2x and y>3z.at n=37A212522
- Free polyominoes with 4n squares, having 90-degree rotational symmetry about a square corner.at n=10A234009
- Sum of the divisors of n^3+1.at n=31A234645
- Sum of n consecutive cubes starting from n^3.at n=12A240137