23296
domain: N
Appears in sequences
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (1, p(1), p(2), ...), t = (composite numbers).at n=39A025100
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 25 (most significant digit on left).at n=20A029494
- Numbers k such that sigma (x) = k has exactly 11 solutions.at n=28A060678
- Number of connected labeled graphs with loops.at n=5A062740
- Numbers n such that sigma(2n+1)=3n.at n=7A067684
- Numbers k such that A069088(k) divides k.at n=42A069145
- Numbers n such that uphi(uphi(n)) = n/2.at n=9A071008
- Array by antidiagonals: Number of planar lattice walks of length 3n+2k starting at (0,0) and ending at (k,0), remaining in the first quadrant and using only NE,W,S steps.at n=19A098273
- Number of permutations of (1,2,3,...,n) where each of the (n-1) adjacent pairs of elements sums to a prime.at n=12A103839
- a(n) = binomial(n+2,3)*4^3.at n=11A141478
- 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, 0, -1), (0, 1, -1), (0, 1, 1), (1, 0, 0)}.at n=8A150181
- Polynomial expansion of p(x)=1/(1 - 3 x + 2 x^2 + 2 x^3 - 4 x^4 + 4 x^5 - 2 x^6 - 2 x^7 + 3 x^8 - x^9 - x^17 + 3 x^18 - 2 x^19 - 2 x^20 + 4 x^21 - 4 x^22 + 2 x^23 + 2 x^24 - 3 x^25 + x^26).at n=40A164787
- Numbers of the form p^8*q*r where p, q, and r are distinct primes.at n=13A179747
- Augmentation of the triangle given by p(n,k)=(3+(-1)^k)/2 for 0<=k<=n. See Comments.at n=48A193631
- Triangle read by rows: T(n,k) = (n+1-k)*|s(n,n+1-k)| - 2*|s(n-1,n-k)|, where s(n,k) are the signed Stirling numbers of the first kind and 1 <= k <= n.at n=39A199221
- Sum of sums of elements of subsets of divisors of n.at n=35A229335
- a(n) = 27*(n - 6)^2 + 4*(n - 6)^3 = ((n - 6)^2)*(4*n + 3).at n=22A245032
- a(n) = (prime(n) - 7)^2 * (4*prime(n) - 1).at n=8A245035
- G.f. satisfies: A(x,y) = 1-x + y*x + Series_Reversion( x/A(x,y)^2 ).at n=47A257813
- Number of 2 X 2 matrices with entries in {0,1,...,n} and odd trace with no elements repeated.at n=15A279905