101745

Appears in sequences

• a(n) = binomial(n+3,6) + binomial(n+1,5) + binomial(n,5).at n=16A005732
• Total number of triangles visible in regular n-gon with all diagonals drawn.at n=16A006600
• Positive numbers k such that k and 5*k are anagrams in base 9 (written in base 9).at n=17A023082
• Odd numbers in the triangle of denominators in Leibniz's Harmonic Triangle.at n=34A046200
• Odd numbers in the triangle of denominators in Leibniz's Harmonic Triangle.at n=35A046200
• Distinct odd numbers in the triangle of denominators in Leibniz's Harmonic Triangle.at n=18A046201
• a(n) = 1/(Integral_{x=0..1} (x^4 - x^5)^n dx).at n=4A090957
• Fifth column (m=4) of (1,6)-Pascal triangle A096956.at n=33A096958
• Denominator of -16/((n+2)*n*(n-2)*(n-4)).at n=18A117465
• Triangle T(n, k) = (binomial(n,2))! / (k! * abs(k+1 - binomial(n,2))!), read by rows.at n=25A123146
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 0, 1), (0, -1, 0), (0, 1, 1), (1, 1, -1)}.at n=10A148978
• a(n) = n*binomial(n+4, 4).at n=17A174002
• a(n) = n*(n+2)*(n+4)*(n+6).at n=14A190577
• The positions of records in A236747.at n=14A237267
• Numerators of coefficient triangle for expansion of x^n in terms of polynomials Todd(k, x) = T(2*k+1, sqrt(x))/sqrt(x) (A084930), with the Chebyshev polynomials of the first kind (type T).at n=57A244420
• Number of permutations sigma of [n] without fixed points such that sigma^6 = Id.at n=10A261317
• Let p = n-th prime == 3 mod 8; a(n) = (sum of quadratic residues mod p that are < p/2) + (sum of all quadratic residues mod p).at n=28A282727
• a(n) is the number of subsets of {1..n} that contain exactly 1 odd and 4 even numbers.at n=41A333321
• Total number of triangles visible in a regular (2n+1)-gon with all diagonals drawn.at n=8A341441
• a(n) is the denominator of Catalan-Daehee number d(n).at n=20A344850