41552

Appears in sequences

• a(n) = (2*n - 3)n^2.at n=28A015238
• 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=23A066918
• Record-setting differences between adjacent elements of the Mian-Chowla sequence variant A058335.at n=48A080931
• Number of partitions of n with distinct numbers of odd and even parts.at n=41A171967
• Number of (n+1) X (3+1) 0..1 arrays with each 2 X 2 subblock having clockwise pattern 0000 0011 or 0111.at n=5A259245
• Number of (n+1)X(6+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0011 or 0111.at n=2A259248
• T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0011 or 0111.at n=30A259250
• T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0011 or 0111.at n=33A259250
• Index in A092243 where -n first appears.at n=12A269738
• G.f.: Sum_{n>=0} x^n * (1 + x^n)^n / (1 + x^(n+1))^(n+1).at n=60A323557
• Irregular triangle read by rows: T(n,k) is the number of n-permutations whose second-shortest cycle has length exactly k; n >= 0, 0 <= k <= max(0,n-1).at n=40A349980