57358

Appears in sequences

• Number of partitions of n into parts not of the form 23k, 23k+5 or 23k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=45A035993
• Numbers n such that n and the four successive integers produce primes if substituted for x in the polynomial 5x^2+5x+1. See A090562, A090563. Terms show that longer similar chains also exist.at n=26A090100
• Integers i such that 41*i = 105 X i.at n=26A115876
• Main diagonal of array A[k,n] = n-th sum of 3 consecutive k-gonal numbers, k>2.at n=33A130423
• -2-Knödel numbers.at n=39A225506
• a(0)=1, a(1)=2; for n>1, a(n) = n*(2^n+4)/4.at n=14A227978
• n * (2 + 2^(2*n - 1)).at n=7A229135
• Numbers k such that 10^k - 8001 is prime.at n=33A270448
• Number of binary words w of length n for which s, the longest proper suffix of w that appears at least twice in w, is of length 1 (i.e., either s = 0 or s = 1).at n=23A284122
• Triangle of scaled 1-tiered binomial coefficients, T(n,k) = 2^(n+1)*(n-k,k)_1 (n >= 0, 0 <= k <= n), where (N,M)_1 is the 1-tiered binomial coefficient.at n=49A308737
• Number of distinct sorted degree sequences among all n-vertex half-loop-graphs without isolated vertices.at n=10A339843
• Number of partitions of n into 9 distinct and relatively prime parts.at n=52A341913