45001

Appears in sequences

• Sum of squares of first n quarter-squares (A002620).at n=20A059859
• a(n) = 50*n^2 + 1.at n=29A157916
• a(n) = 72*n^2 + 1.at n=25A158740
• p^2 + (p+2)^2 - 1 where (p,p+2) is the n-th twin prime pair.at n=11A184417
• G.f. A(x,y) satisfies: A(x,y) = x + A( x^2 + x*y*A(x,y)^2, y).at n=113A271868
• Expansion of e.g.f. exp(x*G(x)^3) where G(x) = 1 + x*G(x)^3 is the g.f. of A001764.at n=5A380512
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. exp(B_k(x) - 1), where B_k(x) = 1 + x*B_k(x)^k.at n=41A382101