48002

Appears in sequences

• G.f.: -1 + Product_{k>=1} (1 + prime(k)*x^prime(k)).at n=43A002099
• Number of points on surface of dodecahedron: a(n) = 30*n^2 + 2 for n > 0.at n=40A005903
• Number of (n+1) X (2+1) 0..1 arrays with each 2 X 2 subblock having clockwise pattern 0001 0101 or 0111.at n=6A259291
• Number of (n+1)X(7+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0001 0101 or 0111.at n=1A259296
• T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0001 0101 or 0111.at n=29A259297
• T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0001 0101 or 0111.at n=34A259297
• a(n) = floor(c^n) where c = (2^(1/3)-1)^(-2) = 14.801887...(n > 0).at n=3A292041
• Number of nX6 0..1 arrays with every element equal to 0, 1, 3, 4 or 6 king-move adjacent elements, with upper left element zero.at n=7A298318
• a(n) is the smallest even number for which there are n prime numbers between a(n) and the largest prime number p such that a(n)-p is also a prime.at n=17A317597
• Number of partitions of n with exactly five part sizes.at n=32A365631