11309768

Appears in sequences

• a(n)-th triangular number is a square: a(n+1) = 6*a(n) - a(n-1) + 2, with a(0) = 0, a(1) = 1.at n=10A001108
• Expansion of 1/((1 - x)*(1 - 2*x - x^2)).at n=18A048739
• Numbers k such that k and k+1 are powerful numbers.at n=9A060355
• Powerful numbers of the form k^2 - 1.at n=7A060859
• Number of 19 X n binary arrays with path of adjacent 1's from upper right corner to lower left corner.at n=1A069341
• Expansion of g.f. x/(1 - x - 3*x^2 - x^3).at n=20A097076
• a(n) = 2*A079291(n) (twice squares of Pell numbers).at n=10A114619
• Consider all Pythagorean triples (X,X+1,Z) ordered by increasing Z; sequence gives Z-(X+1) values.at n=9A115598
• X-values of solutions to the equation X*(X + 1) - 8*Y^2 = 0.at n=5A132592
• a(n) = Sinh[(2n-1)ArcCosh[n]]^2.at n=3A173134
• Row sums of A181657.at n=36A181658
• Primitive elements of A060355: n such that n and n+1 are powerful but n is not of the form 4m(m+1) where m and m+1 are powerful.at n=6A199801
• Number of (n+2)X6 0..1 arrays with every 3X3 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..1 introduced in row major order.at n=6A203919
• Number of (n+2)X9 0..1 arrays with every 3X3 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..1 introduced in row major order.at n=3A203922
• Numbers k such that the distance between the k-th triangular number and the nearest square is at most 1.at n=36A229083
• a(n) = n * (16*n^2+20*n+5)^2.at n=8A322745
• Numbers k such that k and k+1 are both antiharmonic numbers (A020487).at n=16A335389
• Smaller of a pair of numbers (m, m+1) such that both are products P of composite prime powers with omega(P) > 1.at n=5A358174
• The smaller of a pair of successive powerful numbers without a nonsquarefree number between them.at n=23A371190