22344

Appears in sequences

• Expansion of e.g.f.: arcsin(sinh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+12/4!*x^4-40/5!*x^5...at n=8A012511
• Expansion of e.g.f.: sinh(sinh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+12/4!*x^4-40/5!*x^5...at n=8A012514
• a(n) = T(n, n-3), T given by A026519. Also a(n) = number of integer strings s(0), ..., s(n), counted by T, such that s(n) = 3.at n=11A026523
• a(n) = T(n,n-3), T given by A026536. Also number of integer strings s(0), ..., s(n), counted by T, such that s(n) = 3.at n=11A026540
• Number of paths of length n+2 originating at an interior vertex of 4 X 4 Boggle board.at n=7A063002
• Numbers k such that sigma(k) - usigma(k) is a square and sets a new record for such squares.at n=25A063840
• a(n) = (5*n+2)*(5*n+7).at n=29A085036
• Number of squares in an n X n grid of squares with diagonals.at n=27A111500
• Number of bicyclic skeletons with n carbon atoms and the parameter 'alpha' having the value of 2. See the paper by Hendrickson and Parks for details.at n=9A125671
• Number of 5-way intersections in the interior of a regular 6n-gon.at n=48A137939
• Sum of divisors of the number of partitions of n.at n=34A139041
• Fourth accumulation array, T, of the natural number array A000027, by antidiagonals.at n=41A185509
• Exponential Riordan array (log(1/(1-x)), x*A005043(x)).at n=30A185815
• Number of subsets of {1,2,...,n-12} without differences equal to 2, 4, 6, 8, 10 or 12.at n=51A224813
• a(n) = 3*(5^n-3^n)/2.at n=6A226511
• The first position of the first cycle of sequence {b_k}={b_k}(n) in A237671.at n=23A238019
• G.f. A(x) satisfies: Sum_{k=0..n} [x^k] A(x)^n = binomial(7*n,3*n).at n=3A244654
• a(n) = 3*(9*n - 1)*(3*n - 2).at n=17A277985
• Let p = n-th prime == 3 mod 8; a(n) = sum of quadratic residues mod p that are < p/2.at n=27A282721
• Ulam numbers u such that 5*u is also an Ulam number.at n=34A287613