49280

Appears in sequences

• Numbers that are the sum of 4 positive 7th powers.at n=32A003371
• Numbers n such that 147*2^n-1 is prime.at n=34A050599
• Numbers n such that A001414(n) = sum of composites from the smallest prime factor of n to the largest prime factor of n.at n=24A074053
• Row 9 of array in A288580.at n=20A092974
• a(n) = coefficient of x^n in the (2^(n-1))-th iteration of x+x^2 for n>=1.at n=4A158261
• Table where row n lists the coefficients in the (2^n)-th iteration of x+x^2 for n>=0, read by antidiagonals not including trailing zeros in rows.at n=31A158264
• Denominator of Laguerre(n, -9).at n=11A160602
• Numbers with prime factorization pqrs^7.at n=9A190473
• Number of idempotent 3 X 3 -n..n matrices.at n=12A223455
• Numbers of the form (24*x + 1)*2^(y+6) with positive integers x and y.at n=26A231203
• Exponential expansion of the square of the real root y = y(x) of y^3 - 3*x*y - 1.at n=8A282627
• Numbers k such that k = Product (p_j^e_j) = Product (p_j*(e_j + 1)).at n=13A304410
• Integers m that satisfy tau(m) + omega(m) = #({phi(x) = m}).at n=24A305656
• E.g.f.: A(x,y) = (cosh(x)*cosh(y) + sinh(x) + sinh(y)) / (1 - sinh(x)*sinh(y)), where A(x,y) = Sum_{n>=0} Sum_{k>=0} T(n,k) * x^n*y^k/(n!*k!), as a square table of coefficients T(n,k) read by antidiagonals.at n=69A322190
• E.g.f.: A(x,y) = (cosh(x)*cosh(y) + sinh(x) + sinh(y)) / (1 - sinh(x)*sinh(y)), where A(x,y) = Sum_{n>=0} Sum_{k>=0} T(n,k) * x^n*y^k/(n!*k!), as a square table of coefficients T(n,k) read by antidiagonals.at n=74A322190
• E.g.f.: S(x,y) = (sinh(x) + sinh(y)) / (1 - sinh(x)*sinh(y)), where S(x,y) = Sum_{n>=0} Sum_{k=0..2*n+1} T(n,k) * x^(2*n+1-k)*y^k/((2*n+1-k)!*k!), as a triangle of coefficients T(n,k) read by rows.at n=33A322194
• E.g.f.: S(x,y) = (sinh(x) + sinh(y)) / (1 - sinh(x)*sinh(y)), where S(x,y) = Sum_{n>=0} Sum_{k=0..2*n+1} T(n,k) * x^(2*n+1-k)*y^k/((2*n+1-k)!*k!), as a triangle of coefficients T(n,k) read by rows.at n=38A322194
• a(1) = 1; thereafter a(n) = a(n-1) / phi(n) if phi(n) divides a(n-1), otherwise a(n) = a(n-1) * phi(n), where phi is the Euler phi-function A000010.at n=39A326889
• Expansion of Product_{k>=1} (1 + x^k) * (1 + x^(2*k)) * (1 + x^(3*k)) * (1 + x^(4*k)) / ((1 - x^k) * (1 - x^(2*k)) * (1 - x^(3*k)) * (1 - x^(4*k))).at n=17A327049
• a(n) = n/(Sum_{k=1..n} 1/phi(A341813(n)*k)).at n=44A341814