29370

Appears in sequences

• Square pyramidal numbers: a(n) = 0^2 + 1^2 + 2^2 + ... + n^2 = n*(n+1)*(2*n+1)/6.at n=44A000330
• Even square pyramidal numbers.at n=21A015222
• a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = floor(n/2), s = (odd natural numbers).at n=43A025112
• Consider the line segment in R^n from the origin to the point P=(1,2,3,...,n); let d = squared distance to this line from the closest point of Z^n (excluding the endpoints). Sequence gives d times P.P.at n=43A059774
• Least area/6 of primitive Pythagorean triangles with odd leg 2n+1.at n=43A096893
• a(0)=0; then a(4*k+1)=a(4*k)+(4*k+1)^2, a(4*k+2)=a(4*k+1)+(4*k+3)^2, a(4*k+3)=a(4*k+2)+(4*k+2)^2, a(4*k+4)=a(4*k+3)+(4*k+4)^2.at n=44A115391
• Numbers k such that k and 5*k, taken together, are pandigital.at n=27A115925
• 1/24 of product of three numbers: n-th prime, previous and following number.at n=22A127922
• Number of 1-sided strip polypons with n cells.at n=31A151532
• Area ar/6 (divided by 6) of primitive Pythagorean triangles such that perimeters are Averages of twin prime pairs, q=p+1, a=q^2-p^2, c=q^2+p^2, b=2*p*q, ar=a*b/2; s=a+b+c, s-+1 are primes.at n=6A155177
• Sum of median parts of all partitions of n into an odd number of parts.at n=37A211373
• Sum of the squared parts of the partitions of n into exactly two parts.at n=44A226141
• Numbers n = p * q, where n, p, and q together contain all 10 digits at least once.at n=21A253172
• Number of (n+1) X (3+1) 0..2 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=5A253490
• T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=33A253495
• Number of (6+1) X (n+1) 0..2 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=2A253500
• a(n) = n*(2*n + 1)*(4*n + 1)/3.at n=22A258582
• Zero together with the partial sums of A056640.at n=20A274772
• Number of n X 3 0..2 arrays with no element equal to any value at offset (-1,-1) (-2,0) or (0,-2) and new values introduced in order 0..2.at n=6A274954
• Number of nX7 0..2 arrays with no element equal to any value at offset (-1,-1) (-2,0) or (0,-2) and new values introduced in order 0..2.at n=2A274958