22204

Appears in sequences

• a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers), t = (primes).at n=21A024478
• Duplicate of A024478.at n=21A025090
• a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Lucas numbers), t = (primes).at n=20A025098
• a(n) = d(n)/2, where d = A026040.at n=48A026041
• Dot product of the squares and the quarter-squares: a(n) = sum(i=1..n, i^2 * floor(i^2/4)).at n=12A060453
• Intrinsic 10-palindromes: n is an intrinsic k-palindrome if it is a k-digit palindrome in some base.at n=26A060947
• Number of binary words of length n containing at least one subword 1000001 and no subwords 10^{i}1 with i<5.at n=40A143285
• Numbers n such that the binary expansion of n starts with the base 3 expansion of n.at n=9A178679
• Numbers n such that the binary expansion of n contains the base 3 expansion of n as a substring.at n=11A178680
• Number of arrays of 2n nondecreasing integers in -3..3 with sum zero and equal numbers greater than zero and less than zero.at n=24A203286
• Expansion of 1/((x-1)*(3*x-1)*(3*x^2+1)).at n=9A239577
• Number of partitions of 3n into exactly 5 parts.at n=29A256314
• Number of maximal cliques in the n-polygon diagonal intersection graph.at n=25A291949
• Number of unlabeled rooted trees with n nodes where the multiplicities in the multiset of branches under any given node are distinct.at n=17A316796
• G.f.: 1/(1-x)^3 * Product_{k>=1} (1 + x^k).at n=24A325951
• Maximum number of copies of a 1234 permutation pattern in an alternating (or zig-zag) permutation of length n + 5.at n=24A338429
• Triangle read by rows: T(n, k) = (-1)^k*binomial(n, k) * A050446(n, n - k).at n=42A373660