21162
domain: N
Appears in sequences
- a(0) = 1, a(n) = 40*n^2 + 2 for n>0.at n=23A010022
- a(n) = Sum_{i,j,k in Z and i^2 + j^2 + k^2 <= n} i^2 + j^2 + k^2.at n=37A014203
- Numbers whose base-2 representation has exactly 14 runs.at n=2A043581
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (0, 1, -1), (1, 0, -1), (1, 1, 1)}.at n=9A149260
- Smallest numbers containing exactly n smaller numbers when written as English number names.at n=22A159453
- a(n) = number of 9-digit primes with digit sum n, where n runs through the non-multiples of 3 in the range [2..80].at n=44A178884
- Numbers k such that there is 1 prime between 100*k and 100*k + 99.at n=22A186393
- Decimal representation of the middle column of the "Rule 41" elementary cellular automaton starting with a single ON (black) cell.at n=14A266613
- Number of odd partitions in the multiset of intersections of the set of partitions of n with itself; also number of distinct partitions in that multiset.at n=15A274521
- Anagraprod Integers. Integers N that reproduce their multiset of digits when all the products of two successive digits of N are done (and considered together).at n=55A296451
- Fixed points of A300956.at n=5A300958
- Number of nX6 0..1 arrays with every element equal to 0 or 1 horizontally or antidiagonally adjacent elements, with upper left element zero.at n=13A301788
- Number of pairs (lambda,mu) of partitions lambda of n and mu of eight with mu <= lambda (by diagram containment).at n=15A303858
- Expansion of Product_{k>=1} (1 + x^k) * (1 + x^(2*k)) * (1 + x^(3*k)) * (1 + x^(4*k)).at n=33A327046
- Partial sums of A334136.at n=33A332264
- Positive numbers whose square starts and ends with exactly 44, and no 444.at n=10A348831
- Expansion of e.g.f. 1/(1 + x/8 * log(1 - 4 * x)).at n=6A354328