27434

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=43A000330
• Even square pyramidal numbers.at n=20A015222
• a(n) = s(1)*s(n) + s(2)*s(n-1) + ... + s(k)*s(n+1-k), where k = floor((n+1)/2), s = (odd natural numbers).at n=42A024598
• 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=42A059774
• Structured rhombic dodecahedral numbers (vertex structure 9).at n=21A100157
• Antidiagonal sums in A101321.at n=28A101338
• 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=43A115391
• Sum of squares until integer log : sopfr(n). Or also, s(s+1)(2s+1)/6 where s=sopfr(n).at n=42A136135
• Minimal sum s of n distinct squares such that s is divisible by n.at n=42A215574
• The number of binary pattern classes in the (2,n)-rectangular grid with 3 '1's and (2n-3) '0's: two patterns are in same class if one of them can be obtained by a reflection or 180-degree rotation of the other.at n=44A225972
• Number of blocks in a Steiner Quadruple System of order A047235(n+1).at n=28A228124
• Numbers n such that the decimal expansions of both n and n^2 have 2 as smallest digit and 7 as largest digit.at n=13A257123
• Number of squares formed from a square composed of p^2 unit squares where p is n-th prime.at n=13A262247
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 342", based on the 5-celled von Neumann neighborhood.at n=42A269511
• Edge count of the n X n white bishop graph.at n=43A289179
• Numbers k such that k and k+1 are the product of exactly four distinct primes.at n=29A318896