9948

Properties

Appears in sequences

• Sum of max{S(i,j): 1<=j<=i} for i = 1,2,...,n, where S(i,j) are Stirling numbers of the second kind.at n=8A024717
• Binomial transform of {b(n)}, where b(n)=1 for prime n and b(n)=0 otherwise.at n=15A052467
• Sum of primes p with n^2 < p < (n+1)^2.at n=30A108314
• a(n) = C(n,6) + C(n,5) + C(n,4) + C(n,3) + C(n,2) + C(n,1).at n=15A115567
• Expansion of (eta(q^7) / eta(q))^4 in powers of q.at n=10A121593
• Coefficient of q-series for constant term of Tate curve.at n=6A122162
• Poincaré series [or Poincare series] P(T_{6,2}; x).at n=9A124618
• Number of base 16 n-digit numbers with adjacent digits differing by one or less.at n=7A126370
• a(n) = [x^(2^n+n-2)] (x + x^2 + x^4 + x^8 + ... + x^(2^n))^n /(n*(n-1)/2) for n>=2.at n=7A135071
• 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, -1, -1), (-1, 0, 0), (1, 0, 1), (1, 1, 0)}.at n=8A150065
• Let y = y(u,v) be implicitly defined by g(u,v,y(u,v)) = 0. Read as a triangle by rows k = 1,2,..., the sequence represents the number of terms a(i,k-i) in the expansion of the partial derivatives d^k y/du^i dv^{k-i} in terms of partial derivatives of g.at n=46A172004
• Let y = y(u,v) be implicitly defined by g(u,v,y(u,v)) = 0. Read as a triangle by rows k = 1,2,..., the sequence represents the number of terms a(i,k-i) in the expansion of the partial derivatives d^k y/du^i dv^{k-i} in terms of partial derivatives of g.at n=51A172004
• Expansion of x*(1+2*x+8*x^2+4*x^3+3*x^4) / ( (1+x)^2*(x-1)^4 ).at n=23A178947
• Number of n X 7 binary arrays without the pattern 0 1 diagonally, vertically or antidiagonally.at n=14A188864
• Symmetric triangle T, read by rows, where the matrix product of T and T transpose yields a square array which, when read by antidiagonals, equals this triangle read by rows.at n=59A194949
• Symmetric triangle T, read by rows, where the matrix product of T and T transpose yields a square array which, when read by antidiagonals, equals this triangle read by rows.at n=61A194949
• Triangle by rows, binomial transform of the beheaded Pascal's triangle A074909.at n=48A212362
• Number of n X 1 0..2 arrays with all rows and columns having a nonnegative second derivative in a quadratic least squares fit, with one and two element arrays taken as having a zero second derivative.at n=8A223188
• T(n,k)=Number of nXk 0..2 arrays with all rows and columns having a nonnegative second derivative in a quadratic least squares fit, with one and two element arrays taken as having a zero second derivative.at n=36A223195
• a(n) is the minimum number greater than a(n-1) such that the concatenation a(n) U a(n-1) U ... U a(1) is a Niven number, starting with a(1)=1.at n=41A239543