39501

Appears in sequences

• Number of ways in which n identical balls can be distributed among 6 boxes in a row such that each pair of adjacent boxes contains at least 4 balls.at n=12A005339
• (s(n)+s(n+1))/18, where s()=A006521.at n=30A016060
• Number of divisors d of n! such that d+1 is prime.at n=23A067847
• Denominators of e.g.f. sec(arccosh(x)) = cosec(arcsinh(x)).at n=36A102074
• Denominators of e.g.f. sec(arccosh(x)) = cosec(arcsinh(x)).at n=37A102074
• a(n) = binomial(n+2,2)*binomial(n+5,2).at n=17A105938
• Heptagonal numbers for which the sum of the digits is also a heptagonal number.at n=31A117650
• Heptagonal numbers divisible by 7.at n=36A117795
• Numbers k whose sum of digits equals the period of 1/k.at n=41A178495
• Values of k such that 2*k+1 and 5*k+1 are both triangular numbers.at n=7A274579
• a(n) is the least number with n factorizations into S-primes (numbers 4k+1 with no proper divisors > 1 of form 4m+1).at n=3A321337
• Where the number of divisors d(k) reaches a new record for numbers k whose prime factors are of the form 4*j+3.at n=12A326313
• The binary expansion of a(n) is the first n terms of 2 - A000002.at n=16A329356
• E.g.f. satisfies A(x) = exp(x * A(x)^2 * (1 + x * A(x))).at n=5A363357