84448

Appears in sequences

• a(n) = Sum_{m=0..n} (Sum_{k=0..m} binomial(n,k))^3 = (n+2)*2^(3*n-1) - 3*2^(n-2)*n*binomial(2*n,n).at n=5A007403
• Palindromes with exactly 8 prime factors (counted with multiplicity).at n=4A046334
• Partial sums of A051880.at n=11A050406
• Eighth column (m=7) of convolution triangle A059594(n,m).at n=9A059596
• Numbers m that minimize | k /(k- EulerPhi(k)) - golden ratio phi | when k runs over all the numbers with the same number of digits as m.at n=16A065758
• a(1) = 1; a(2) = 1; a(n) = prime(a(n-1)) + prime(a(n-2)) if n > 2.at n=8A069103
• a(n) = sigma[k](n) - phi(n)^k - d(n)^k for k=3.at n=41A079539
• a(1) = 1, a(n) = smallest nontrivial palindromic multiple of a(n-1). a(n) is not equal to a(n-1) or a concatenation of a(n-1) with itself.at n=7A083147
• a(1) = 1; a palindrome is included in the sequence if it has a prime signature that is different from all previous terms.at n=41A083433
• 25-gonal pyramidal numbers: a(n) = n*(n+1)*(23*n-20)/6.at n=28A256645
• Convolution of nonzero octagonal numbers (A000567) with themselves.at n=11A276159
• Numbers k such that k multiplied by the sum of reciprocals of digits is the digit reversal of k.at n=14A309654
• E.g.f.: C(x,q) = 1 + Integral S(x,q) * C(q*x,q) dx, such that C(x,q)^2 - S(x,q)^2 = 1, where C(x,q) = Sum_{n>=0} sum_{k=0..n*(n-1)/2} T(n,k)*x^n*y^k/n!, as an irregular triangle of coefficients T(n,k) read by rows.at n=66A322218
• Number of compositions of n such that the set of parts and the set of multiplicities of parts are equal.at n=25A336031