102051

Appears in sequences

• a(n) = sum of squares of first n positive integers congruent to 1 mod 4.at n=26A024381
• Number of plane regions after drawing (in general position) a convex n-gon and all its diagonals.at n=39A027927
• Nearest integer to log(n!)^(1 + log(1 + log(1 + n))).at n=36A062446
• a(n) = least natural number k such that f(k) begins a maximal zigzag of length n in the prime gaps function f(x) = p(x+1)-p(x), where p(x) denotes the x-th prime. (Cf. A066485.)at n=20A066918
• Denominator of Product_{k=0..n} ((2*k+1)/(2*k+2))^((-1)^t(k)) where t(k)=A010060(k) (Thue-Morse sequence).at n=14A094542
• a(0)=a(1)=1. a(n) = the multiple of n which is >= a(n-1)+a(n-2) and is < a(n-1)+a(n-2)+n.at n=23A128035
• Numbers which are both lucky and pentagonal.at n=22A128511
• Denominators of the BG1[ -5,n] coefficients of the BG1 matrix.at n=15A162444
• Q-residue of the Lucas triangle A114525, where Q is the triangle given by t(i,j)=1 for 0<=i<=j. (See Comments.)at n=13A193662
• Number of permutations of length 3n with descent set {3, 6, ...} that avoid a certain pattern of length 4 or 5 (see Lewis, 2012, Appendix, for precise definition).at n=3A217827
• Pentagonal numbers which are the arithmetic mean of two consecutive primes.at n=29A234531
• p-INVERT of the squares (A000290), where p(S) = 1 + S - 2 S^2.at n=7A292535
• Number of faces in the n-polygon diagonal intersection graph.at n=37A301748