135751

Appears in sequences

• Binomial coefficient C(4n,n-7).at n=4A004337
• Binomial coefficient C(44,n).at n=4A010960
• Binomial coefficient C(n,40).at n=4A010993
• Binomial coefficients C(2*n+4,4).at n=20A053134
• a(n) = binomial(4*n,4).at n=10A060541
• a(n) = lcm(n, n+1, n+2, n+3)/12.at n=40A067047
• Pentagonal numbers for which the sum of the digits is also a pentagonal number.at n=31A117709
• Pentagonal numbers with only odd digits.at n=19A117985
• Numbers which are both lucky and pentagonal.at n=24A128511
• List of numbers that are both pentagonal (A000326) and binomial coefficients C(n,4) (A000332).at n=28A145920
• a(n) = A001512(n)/24 = (5*n+1)*(5*n+2)*(5*n+3)*(5*n+4)/24.at n=8A151989
• a(n) = binomial(11*n,n).at n=4A169960
• a(n) = binomial(n+4,4)*gcd(n,5)/5.at n=40A234042
• a(n) = 5*binomial(8*n+5, n)/(8*n+5).at n=5A234464
• Irregular table read by rows: n-th row lists the 9 n-gonal numbers of a 3 X 3 semimagic square with the smallest magic sum. The terms of each row are arranged in the manner shown in A261816.at n=21A265141
• Number of n-member subsets of [9*n] whose elements sum to a multiple of nine.at n=5A318597
• Number of 5-member subsets of [5*n] whose elements sum to a multiple of n.at n=9A318626
• Numbers k for which A003973(k) is equal to 2*sigma(k).at n=39A337384
• Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^binomial(k+3,4).at n=40A344204
• a(0) = 1; a(n) = Sum_{k=0..floor((n-1)/7)} a(7*k) * a(n-1-7*k).at n=39A386396