32039

Appears in sequences

• a(n) = prime(n)*prime(n+1) - prime(n) - prime(n+1).at n=40A037165
• a(n) = 4*n^4 + 8*n^3 - 4*n - 1 = (2*n^2 - 1)*(2*n^2 + 4*n + 1).at n=9A057769
• a(n+1) - 3*a(n) + a(n-1) = (2/3)*(1+w^(n+1)+w^(2*n+2)); a(1) = 0, a(2) = 1; where w is the cubic root of unity.at n=11A072130
• Second member of the Diophantine pair (m,k) that satisfies 5*(m^2 + m) = k^2 + k; a(n) = k.at n=7A077262
• Expansion of x*(1+3*x+2*x^2)/((1+x+x^2)*(1-x-x^2)).at n=22A100886
• Expansion of (x^2-2*x)/(x^4-x^2+2*x-1).at n=22A108014
• Subset of A037165 (p(n)*p(n+1)-p(n)-p(n+1)) for twin primes.at n=12A137367
• a(n) = floor(Lucas(n+1)/2), Lucas(n) = A000032(n).at n=22A173714
• Partial sums of odd Fibonacci numbers (A014437).at n=14A174542
• Monotonic ordering of nonnegative differences 2^i-9^j, for 40>=i>=0, j>=0.at n=42A192122
• Monotonic ordering of nonnegative differences 8^i-3^j, for 40>= i>=0, j>=0.at n=24A192156
• Size (b^3_n) of unit sphere in a certain graph (see Hazama article for precise definition).at n=21A199935
• a(0)=a(1)=1, a(n+2) = a(n+1) + a(n) - A128834(n).at n=23A226956
• The edge independence number of the Lucas cube Lambda(n).at n=23A245968
• a(n) gives the odd leg of the second of the two Pythagorean triangles with hypotenuse A080109(n) = A002144(n)^2. This is the larger of the two possible odd legs.at n=18A253804
• Number of primary Carmichael numbers (A324316) less than 10^n.at n=17A324317
• Numbers with two or more distinct prime factors such that the number and all its prime factors fall on a single straight line when they are plotted on a square spiral.at n=46A346294
• Smallest nonnegative integer not expressible by the addition and subtraction of fewer than n Lucas numbers.at n=8A364754
• Expansion of ( (1/x) * Series_Reversion( x * ((1-x) * (1-x+x^2))^2 ) )^(1/2).at n=6A381828