19108

Appears in sequences

• a(n) = (n+1)*(n^2+n+2)/2; g.f.: (1 + 2*x^2) / (1 - x)^4.at n=33A006000
• INVERTi transform of A054765: (1, 3, 19, 160, 1744, ...).at n=5A155728
• Triangle read by rows, M * Q; M = (T(n,k) = A155728(n-k+1)); Q = (A155728 * 0^(n-k)).at n=15A155729
• Triangle read by rows, M * Q; M = (T(n,k) = A155728(n-k+1)); Q = (A155728 * 0^(n-k)).at n=21A155729
• Triangle read by rows, M * Q; M = (T(n,k) = A155728(n-k+1)); Q = (A155728 * 0^(n-k)).at n=28A155729
• Number of strings of numbers x(i=1..5) in 0..n with sum i*x(i)^2 equal to n*25.at n=41A184444
• Number of (strict) inversions in all standard Young tableaux of size n.at n=8A225617
• Number of cyclic arrangements of S={1,2,...,2n} such that the difference between any two neighbors is 3^k for some k=0,1,2,...at n=8A242520
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 494", based on the 5-celled von Neumann neighborhood.at n=37A272548
• 36-gonal numbers: a(n) = n*(17*n-16).at n=34A282853
• Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 603", based on the 5-celled von Neumann neighborhood.at n=14A283251
• Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n)^2, where a(0) = 3, a(1) = 4, b(0) = 1, b(1) = 2, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences.at n=13A296250
• G.f.: Sum_{k>=1} x^k/(1+x^k) * Product_{k>=1} (1+x^k)/(1-x^k).at n=21A305101
• Number of partitions of n with up to three distinct kinds of 1.at n=36A320690
• Counterexamples to a conjecture of Ramanujan about congruences related to the partition function.at n=31A340757
• Indices of record values in A350228.at n=24A350244
• Triangular array read by rows: T(m,n) = number of Yamanouchi words of length m that start with n, m >= 1, n = 1..m.at n=69A369588