56953

Appears in sequences

• a(n) = n^2*(2*n^2 - 1); also Sum_{k=0..n-1} (2k+1)^3.at n=13A002593
• Odd triangular numbers with prime indices.at n=32A034954
• Triangular numbers with sum of digits = 28.at n=14A068132
• Semiperimeter of primitive Pythagorean triangles having legs that add up to a square, sorted on hypotenuse.at n=33A089549
• Number of partitions of n-th composite number not containing the smallest prime factor.at n=33A091094
• Transform of n^3 by the Riordan array (1/(1-x^2), x).at n=25A105636
• Concatenation of triangular number k and its 10's complement is prime.at n=20A108970
• Triangular numbers for which the number of divisors is also a triangular number.at n=20A116541
• Hexagonal numbers whose number of divisors is also a hexagonal number.at n=8A116565
• Hexagonal numbers for which the sum of the digits is also a hexagonal number.at n=35A117062
• Numbers k such that Hamming weight of k equals Hamming weight of k^3.at n=16A118655
• Triangular numbers t such that t+10 is a prime.at n=42A129755
• Odd numbers k such that Hamming weight of k equals Hamming weight of k^3.at n=1A138597
• Positive numbers y such that y^2 is of the form x^2+(x+337)^2 with integer x.at n=10A159574
• Triangular numbers which are sums of three consecutive primes.at n=8A167788
• a(n) = A002865(2*n-1)+A002865(2*n).at n=24A182845
• Triangular numbers of the form p*w, where p is a prime number and w is a prime power (A025475).at n=18A225674
• Triangular numbers which are an average of four consecutive primes.at n=29A226196
• Triangular arithmetic on half-squares: b(n)*(b(n) - 1)/2 where b(n) = floor(n^2/2).at n=26A227970
• Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 4 6 or 7.at n=1A252638