A025058 Numbers of form i*j + j*k + k*i, where 1 <=i < j < k, including repetitions.

11, 14, 17, 19, 20, 23, 23, 26, 26, 27, 29, 29, 31, 31, 32, 34, 35, 35, 36, 38, 38, 39, 39, 41, 41, 41, 43, 44, 44, 44, 46, 47, 47, 47, 47, 49, 50, 50, 51, 51, 52, 53, 53, 54, 54, 55, 55, 56, 56, 56, 59, 59, 59, 59, 59, 61, 61, 62, 62, 62, 63, 63, 64, 65, 65

Offset: 1

Author

Clark Kimberling

Keywords

• nonn

Examples

			11 is in the sequence because 11 = 1*2 + 2*3 + 3*1.
23 appears twice because 23 = 1*3 + 3*5 + 5*1 = 1*2 + 2*7 + 7*1.
		

Links

• Bo Gyu Jeong, Table of n, a(n) for n = 1..2000

Crossrefs

Cf. A025060 (without repetitions), A093669.

Programs

Python

def aupto(N):
    alst = []
    for i in range(1, N-1):
        for j in range(i+1, N//i + 1):
            p, s = i*j, i+j
            for k in range(j+1, (N-p)//s + 1):
                alst.append(p + s*k)
    return sorted(alst)
print(aupto(65)) # Michael S. Branicky, Nov 14 2021