23664
domain: N
Appears in sequences
- Related to representation as sums of squares.at n=23A002292
- (Terms in A028273)/2.at n=43A051298
- Numbers such that (-1)Sigma(m)*UnitarySigma(m)= k*UnitaryPhi(m)*m for some integer k.at n=6A123181
- Numbers n with property that average digit of n^2 is s=7.at n=24A164773
- Expansion of q * (phi(-q^2) * psi(-q)^2)^4 in powers of q where phi(), psi() are Ramanujan theta functions.at n=47A225912
- Expansion of q^(-1/2) * k(q) * (1 - k(q)^4) * (K(q) / (Pi/2))^6 / 4 in powers of q where k(), k'(), K() are Jacobi elliptic functions.at n=23A225923
- E.g.f. equals the series reversion of x - x*arctan(x).at n=5A227460
- G.f.: Product_{n>=1} [1 + (n+1)*x^n + (n+2)*x^(n+1) + (n+3)*x^(n+2) + (n+4)*x^(n+3) +...].at n=12A251685
- Number of (n+2) X (1+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3 X 3 subblock summing to 4 or more.at n=1A251854
- Number of (n+2)X(2+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 4 or more.at n=0A251855
- T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 4 or more.at n=1A251858
- T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 4 or more.at n=2A251858
- Number of n X 5 nonnegative integer arrays with upper left 0 and every value within 2 of its city block distance from the upper left and every value increasing by 0 or 1 with every step right or down.at n=5A252817
- Number of n X 6 nonnegative integer arrays with upper left 0 and every value within 2 of its city block distance from the upper left and every value increasing by 0 or 1 with every step right or down.at n=4A252818
- T(n,k)=Number of nXk nonnegative integer arrays with upper left 0 and every value within 2 of its city block distance from the upper left and every value increasing by 0 or 1 with every step right or down.at n=49A252820
- T(n,k)=Number of nXk nonnegative integer arrays with upper left 0 and every value within 2 of its city block distance from the upper left and every value increasing by 0 or 1 with every step right or down.at n=50A252820
- Expansion of Product_{k>=1} (1 + x^(4*k))^(4*k) / (1 + x^k)^k.at n=34A285295
- Number of length-n strings w over a 4-letter alphabet with the property that if x is a subword of w and |x| >= 2, then x reversed is not a subword of w.at n=18A330011
- a(n) = Sum_{k=1..floor(n/2)} k^2 * (n-k)^2.at n=16A337173
- Triangle read by rows. T(n, k) = numerator([x^k] R(n, n, x)), where R(n, k, x) = Sum_{u=0..k} ( Sum_{j=0..u} x^j * binomial(u, j) * (j + 1)^n ) / (u + 1).at n=29A362996